Relevant bibliographies by topics / Blowing up (Algebraic geometry)

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Blowing up (Algebraic geometry)'

Author: Grafiati
Published: 4 June 2021
Last updated: 27 July 2024

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Journal articles on the topic "Blowing up (Algebraic geometry)"

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Kucharz, Wojciech. "Framed cobordisms in real algebraic geometry." Mathematical Proceedings of the Cambridge Philosophical Society 101, no. 1 (1987): 57–60. http://dx.doi.org/10.1017/s0305004100066408.

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Akbulut and King [3, 4] have obtained several interesting results investigating the effects on homology of real algebraic varieties of the blowing-up construction. Here we apply this technique to study the behaviour of homotopy classes.
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Kucharz, Wojciech. "Approximation and homotopy in regulous geometry." Compositio Mathematica 160, no. 1 (2023): 1–20. http://dx.doi.org/10.1112/s0010437x23007522.

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Let $X$ , $Y$ be nonsingular real algebraic sets. A map $\varphi \colon X \to Y$ is said to be $k$ -regulous, where $k$ is a nonnegative integer, if it is of class $\mathcal {C}^k$ and the restriction of $\varphi$ to some Zariski open dense subset of $X$ is a regular map. Assuming that $Y$ is uniformly rational, and $k \geq 1$ , we prove that a $\mathcal {C}^{\infty }$ map $f \colon X \to Y$ can be approximated by $k$ -regulous maps in the $\mathcal {C}^k$ topology if and only if $f$ is homotopic to a $k$ -regulous map. The class of uniformly rational real algebraic varieties includes spheres,
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Sampaio, J. Edson. "A proof of the differentiable invariance of the multiplicity using spherical blowing-up." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 4 (2018): 3913–20. http://dx.doi.org/10.1007/s13398-018-0537-5.

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Cao, Nanbin, Yue Zhang, and Xia Liu. "Regularization of the Boundary Equilibrium Bifurcation in Filippov System with Rich Discontinuity Boundaries." Axioms 13, no. 3 (2024): 186. http://dx.doi.org/10.3390/axioms13030186.

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This paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As an illustration, a plant disease model and an avian-only model are presented, and their bifurcation scenarios are investigated. By means of the regularization approach, the blowing up method, and the singular perturbation theory, we provide a different way to analyze the dynamics of this type of Filippov system. In particular, the boundary equ
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Daniel Daigle. "Classification of Linear Weighted Graphs up to Blowing-Up and Blowing-Down." Canadian Journal of Mathematics 60, no. 1 (2008): 64–87. http://dx.doi.org/10.4153/cjm-2008-003-2.

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Villamayor U., Orlando E. "Equimultiplicity, algebraic elimination, and blowing-up." Advances in Mathematics 262 (September 2014): 313–69. http://dx.doi.org/10.1016/j.aim.2014.04.013.

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Schoutens, Hans. "Blowing up in rigid analytic geometry." Bulletin of the Belgian Mathematical Society - Simon Stevin 2, no. 4 (1995): 399–417. http://dx.doi.org/10.36045/bbms/1103408697.

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Newelski, Ludomir. "Geometry of *-Finite Types." Journal of Symbolic Logic 64, no. 4 (1999): 1375–95. http://dx.doi.org/10.2307/2586784.

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AbstractAssume T is a superstable theory with < 2ℵ0 countable models. We prove that any *- algebraic type of -rank > 0 is m-nonorthogonal to a *-algebraic type of -rank 1. We study the geometry induced by m-dependence on a *-algebraic type p* of -rank 1. We prove that after some localization this geometry becomes projective over a division ring . Associated with p* is a meager type p. We prove that p is determined by p* up to nonorthogonality and that underlies also the geometry induced by forking dependence on any stationarization of p. Also we study some *-algebraic *-groups of -rank 1
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Ray, Nabanita. "Geometry of ℙ2 blown up at seven points". Mathematica Slovaca 69, № 6 (2019): 1279–92. http://dx.doi.org/10.1515/ms-2017-0308.

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Abstract In this paper, we prove that blown up at seven general points admits a conic bundle structure over ℙ1 and it can be embedded as (2, 2) divisor in ℙ1 × ℙ2. Conversely, any smooth surface in the complete linear system |(2, 2)| of ℙ1 × ℙ2 can be obtained as an embedding of blowing up ℙ2 at seven points. We also show that smooth surface linearly equivalent to (2, 2) in ℙ1 × ℙ2 has at most four (−2) curves.
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Cavalcanti, Gil Ramos. "The Lefschetz property, formality and blowing up in symplectic geometry." Transactions of the American Mathematical Society 359, no. 1 (2006): 333–48. http://dx.doi.org/10.1090/s0002-9947-06-04058-x.

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Dissertations / Theses on the topic "Blowing up (Algebraic geometry)"

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Cid, Ruiz Yairon. "Blow-up algebras in Algebra, Geometry and Combinatorics." Doctoral thesis, Universitat de Barcelona, 2019. http://hdl.handle.net/10803/667768.

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The primary topic of this thesis lies at the crossroads of Commutative Algebra and its interactions with Algebraic Geometry and Combinatorics. It is mainly focused around the following themes: 1) Defining equations of blow-up algebras; 2) Study of rational maps via blow-up algebras; and 3) Asymptotic properties of the powers of edge ideals of graphs. We are primarily interested in questions that arise in geometrical or combinatorial contexts and try to understand how their possible answers manifest in various algebraic structures or invariants. There is a particular algebraic object, the Rees
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Benzerga, Mohamed. "Structures réelles sur les surfaces rationnelles." Thesis, Angers, 2016. http://www.theses.fr/2016ANGE0081.

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Le but de cette thèse est d’apporter des éléments de réponse au problème de la finitude du nombre de classes de R-isomorphisme de formes réelles d’une surface rationnelle projective complexe lisse X quelconque, i.e. du nombre de classes d’isomorphisme de R-schémas dont le complexifié est isomorphe à X. Nous étudions ce problème en termes de structures réelles (ou involutions antiholomorphes, généralisant la conjugaison complexe) sur X : l’intérêt de cette approche est qu’elle permet une réécriture du problème faisant intervenir les groupes d’automorphismes de surfaces rationnelles, à travers l
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Yu, Wenhua. "Blowup rate control for solution of Jang's equation and its application on Penrose inequality." Thesis, 2019. https://doi.org/10.7916/d8-avnq-g588.

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We prove that the blowup term of a blowup solution of Jang's equation on an initial data set (M,g,k) near an arbitrary strictly stable MOTS Σ is exactly −1/√λlog τ, where τ is the distance from Σ and λ is the principal eigenvalue of the MOTS stability operator of Σ. We also prove that the gradient of the solution is of order τ^(-1). Moreover, we apply these results to get a Penrose-like inequality under additional assumptions.
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"Locating the blow-up points and local behavior of blow-up solutions for higher order Liouville equations." 2006. http://library.cuhk.edu.hk/record=b5892801.

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Wang Yi.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.<br>Includes bibliographical references (leaves 61-63).<br>Abstracts in English and Chinese.<br>Chapter 1 --- Introduction --- p.4<br>Chapter 2 --- Some Preparations --- p.10<br>Chapter 3 --- Proof of Theorem 1.1 --- p.24<br>Chapter 4 --- Location of Blow-up Points (for n=2) --- p.26<br>Chapter 5 --- Location of Blow-up Points (for General n) --- p.35<br>Chapter 6 --- Asymptotic behavior of solutions near blow-up point --- p.46<br>Chapter 7 --- Appendix --- p.57<br>Bibliography --- p.61
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Kowalczyk, Tomasz. "Real algebraic versions of Cartan's theorems A and B." Praca doktorska, 2019. https://ruj.uj.edu.pl/xmlui/handle/item/81958.

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Herrera-Cordero, Esteban. "L'éclatement en géométrie algébrique, différentielle et symplectique." Thèse, 2011. http://hdl.handle.net/1866/5347.

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L'éclatement est une transformation jouant un rôle important en géométrie, car il permet de résoudre des singularités, de relier des variétés birationnellement équivalentes, et de construire des variétés possédant des propriétés inédites. Ce mémoire présente d'abord l'éclatement tel que développé en géométrie algébrique classique. Nous l'étudierons pour le cas des variétés affines et (quasi-)projectives, en un point, et le long d'un idéal et d'une sous-variété. Nous poursuivrons en étudiant l'extension de cette construction à la catégorie différentiable, sur les corps réels et complexes, e
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Books on the topic "Blowing up (Algebraic geometry)"

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1948-, Ikeda S., Orbanz Ulrich 1945-, and Moonen Boudewijn, eds. Equimultiplicity and blowing up: An algebraic study. Springer-Verlag, 1988.

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service), SpringerLink (Online, ed. Blow-up theories for semilinear parabolic equations. Springer, 2011.

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service), SpringerLink (Online, ed. Blow-up Theories for Semilinear Parabolic Equations. Springer-Verlag Berlin Heidelberg, 2011.

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Supported blow-up and prescribed scalar curvature on Sn. American Mathematical Society, 2011.

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Blowup for nonlinear hyperbolic equations. Birkhäuser, 1995.

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Mikhail, Zhitomirskiĭ, ed. Points and curves in the Monster tower. American Mathematical Society, 2010.

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1974-, Robert Frédéric, and Wei Juncheng 1968-, eds. The Lin-Ni's problem for mean convex domains. American Mathematical Society, 2011.

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Straughan, B. Explosive instabilities in mechanics. Springer, 1998.

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author, Mitidieri Enzo, and Pokhozhaev S. I. author, eds. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. CRC Press, Taylor & Francis Group, 2015.

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Herrmann, Manfred, Shin Ikeda, Ulrich Orbanz, and B. Moonen. Equimultiplicity and Blowing Up: An Algebraic Study. Springer, 2011.

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Book chapters on the topic "Blowing up (Algebraic geometry)"

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Marijuán, Carlos. "Blowing Up Acyclic Graphs and Geometrical Configurations." In Algebraic Geometry and Singularities. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9020-5_3.

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Abramovich, Dan, Michael Temkin, and Jarosław Włodarczyk. "Birational Geometry Using Weighted Blowing Up." In New Techniques in Resolution of Singularities. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-32115-3_4.

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McDuff, Dusa. "Remarks on the uniqueness of symplectic blowing up." In Symplectic Geometry. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511526343.009.

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Semple, J. G., and G. T. Kneebone. "Further Properties of Conics." In Algebraic Projective Geometry. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198503637.003.0006.

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Abstract IN Chapter V we laid the foundations for a systematic treatment of the projective geometry of the conic, and showed also how the affine and euelidean properties of conics find a natural place in the scheme. In this chapter we shall develop the theory in greater detail, and it will be part of our purpose to prove a number of well-known geometrical properties of conics, such as, for example, Pascal’s Theorem. The reader should by this time be fully conversant with the relationship between the different geometries of the projective hierarchy, and he should be able from time to time to change his point of view without losing sight of the logical structure of the system as a whole. Our principal object of study, he will understand, is projective geometry over the complex field; but by considering only real points as actual and properly complex points as ideal, and by suitably restricting the class of allowable coordinate representations, we can treat affine or euelidean space as a specialization of complex projective space. Up to the present we have been careful to maintain a clear separation between the different kinds of space, but from now on we shall allow ourselves greater freedom, dealing for the most part with projective space, but permitting digressions into more special spaces whenever these seem appropriate or illuminating.
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Janasz, Marek. "On the nearly free simplicial line arrangements with up to 27 lines." In Analitic and Algebraic Geometry 4. Wydawnictwo Uniwersytetu Łódzkiego, 2022. http://dx.doi.org/10.18778/8331-092-3.07.

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Félix, Yves, John Oprea, and Daniel Tanré. "G-spaces." In Algebraic Models in Geometry. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780199206513.003.0007.

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Abstract The history of group actions is intimately tied up with the development of both algebraic topology and Lie group theory. In this chapter, we show how minimal models can be used to study compact Lie group actions on manifolds. We focus on certain aspects of group actions that are especially amenable to model techniques. Throughout the chapter, G will generally denote a Lie group acting on a compact manifold M . Certain properties of M will be apparent. For instance, when the action is free (i.e. no point in M is left fixed by any g G ), we have a principal G -bundle M M/G with the particular consequence that χ (M) 0.
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Donaldson, S. k., and P. B. Kronheimer. "The Differential Topology Of Algebraic Surfaces." In The Geometry of Four-Manifolds. Oxford University PressOxford, 1990. http://dx.doi.org/10.1093/oso/9780198535539.003.0010.

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Abstract Let us now review our position with regard to the overall aims of this book. In Chapter 1 we set up the twin problems in four-manifold theory: deciding the existence and uniqueness of manifolds with given intersection forms. In Chapter 8 we have shown how arguments with Yang-Mills moduli spaces give strong non-existence results, and in Chapter 9 we have developed invariants of four–manifolds aimed at the complementary question of uniqueness. However we have not yet given any full-blooded example of the application of these invariants, i.e. shown that they can distinguish differentiable four-manifolds with the same intersection form, and this is the purpose of the present chapter. We will describe the main ideas in the proof of the general Theorem (1.3.5), and give a complete proof of the special result ( I .3.6).
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"Immersions of Polynomial Systems into Linear Ones up to an Output Injection." In Algebraic Geometry for Robotics and Control Theory. WORLD SCIENTIFIC (EUROPE), 2021. http://dx.doi.org/10.1142/9781800610460_0005.

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"A Few Basic Topics." In Some Novel Types of Fractal Geometry, edited by Stephen Semmes. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198508069.003.0003.

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Abstract Is it true that, up to BPI equivalence, there are only countably many BPI spaces with Poincare inequalities (in the sense of Section 2.3)? In particular, are there only countably many positive numbers which arise as Hausdorff dimensions of such spaces?For the first part of the question, one can get counterexamples with families of nilpotent Lie groups. See p. 53-54 of [Bel]. In this case, there is a particularly natural way to try to make nontrivial continuous deformations, using the algebraic structure involved. (We shall return to more general themes of deformations in Chapter 4.)
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Fefferman, Charles, and C. Robin Graham. "Jet Isomorphism." In The Ambient Metric (AM-178). Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691153131.003.0008.

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A fundamental result in Riemannian geometry is the jet isomorphism theorem which asserts that at the origin in geodesic normal coordinates, the full Taylor expansion of the metric may be recovered from the iterated covariant derivatives of curvature. As a consequence, one deduces that any local invariant of Riemannian metrics has a universal expression in terms of the curvature tensor and its covariant derivatives. Geodesic normal coordinates are determined up to the orthogonal group, so problems involving local invariants are reduced to purely algebraic questions concerning invariants of the orthogonal group on tensors. This chapter proves an analogous jet isomorphism theorem for conformal geometry. By making conformal changes, the Taylor expansion of a metric in geodesic normal coordinates can be further simplified, resulting in a “conformal normal form” for metrics about a point.
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Conference papers on the topic "Blowing up (Algebraic geometry)"

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Andrei, L., A. Andreini, C. Bianchini, B. Facchini, and L. Mazzei. "Numerical Analysis of Effusion Plates for Combustor Liners Cooling With Varying Density Ratio." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95039.

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Effusion cooling technology has been assessed in past years as one of the most efficient methods to maintain allowable working temperature of combustor liners. Despite many efforts reported in literature to characterize the cooling performances of those devices, detailed analysis of the mixing process between coolant and hot gas are difficult to perform especially in case superposition and density ratio effects become important. Furthermore, recent investigations on the acoustic properties of these perforations pointed out the challenge to maintain optimal cooling performance also with orthogo
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Ramesh, Sridharan, Chris LeBlanc, Srinath V. Ekkad, and Mary Anne Alvin. "Tripod Hole Geometry Performance for a Vane Suction Surface Near Throat Location." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94459.

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Film cooling performance depends strongly on the hole exit geometry, blowing ratio, and hole location. The goal of this study is to evaluate film cooling geometries that can provide better protection over the suction surface of the airfoil beyond the throat region. This study compares the performance of standard cylindrical; fan-shaped (10° flare/laidback); tripod hole geometry (15° breakout angle); and tripod holes with shaped exits (5° flare on 15° tripod). Film cooling holes are located just upstream of the throat region on the suction side of an airfoil. The airfoil is a scaled up first st
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Piipponen, Samuli, Eero Hyry, and Teijo Arponen. "Kinematic Analysis of Multi-4-Bar Mechanisms Using Algebraic Geometry." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67250.

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The configuration spaces (c-space) of mechanisms and robots can in many cases be presented as an algebraic variety. Different motion modes of mechanisms and robots are found as irreducible components of the variety. Singularities of the variety correspond usually (but not necessarily) to intersections of irreducible components/motion modes of the configuration space. A well-known method for finding the modes is the prime (and/or primary) decomposition of the constraint ideal corresponding to the mechanisms specific constraint map. However the direct computation of these decompositions is still
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Harff, Michael R., J. Mitch Wolff, and William W. Copenhaver. "A CFD Investigation of IGV Flow Vectoring by Counter Flow Blowing." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53941.

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This paper describes a CFD analysis conducted to examine the impact of counter-flow blowing (CFB) on a row of uncambered, circulation-controlled (CC) inlet guide vanes (IGVs). In addition to a Coanda jet blown over the rounded trailing edge of the IGV blade, a second slot was placed on the pressure surface near the trailing edge to inject air upstream, i.e., in a counter-flow direction. Two blade shapes were modeled, each with four basic combinations of Coanda blowing and CFB, and the results were compared to flow turning and loss as modeled for a typical flapped IGV. The Advanced Ducted Propf
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Sandberg, R. D., R. Tan, J. Weatheritt, et al. "Applying Machine Learnt Explicit Algebraic Stress and Scalar Flux Models to a Fundamental Trailing Edge Slot." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75444.

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A form of supervised machine learning was applied to highly resolved large-eddy simulation (LES) data to develop non linear turbulence stress and heat flux closures with increased prediction accuracy for trailing-edge cooling slot cases. The LES data were generated for a thick and a thin trailing-edge slot and shown to agree well with experimental data, thus providing suitable training data for model development. A Gene Expression Programming (GEP) based algorithm was used to symbolically regress novel nonlinear Explicit Algebraic Stress Models (EASM) and heat-flux closures based on either the
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Laroche, E. "Influence of Freestream Turbulence Intensity on Cooling Effectiveness." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0139.

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The objective of the study is to evaluate the potential of various turbulence models to simulate satisfactorily the influence of freestream turbulence intensity on the development of a cooling film, via a coupled computation, i.e. taking into account the full geometry (plenum, hole and main channel). Isotropic as well as anisotropic turbulence models (for the velocity as well as for the temperature fields) are tested, and an insight on the best suited closure is expected. The question of the respective influences of the various flow parameters (boundary layer characteristics, turbulent length
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Schroeder, Robert P., and Karen A. Thole. "Effect of In-Hole Roughness on Film Cooling From a Shaped Hole." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56978.

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While much is known about how macro-geometry of shaped holes affects their ability to successfully cool gas turbine components, little is known about the influence of surface roughness on cooling hole interior walls. For this study a baseline shaped hole was tested with various configurations of in-hole roughness. Adiabatic effectiveness measurements at blowing ratios up to three showed that in-hole roughness caused decreased adiabatic effectiveness relative to smooth holes. Decreases in area-averaged effectiveness grew more severe with larger roughness size and with higher blowing ratios for
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Flores, Wilmer, Andres Curbelo, Luisana Calderon, Jayanta S. Kapat, and Kareem Ahmed. "Adiabatic Film Cooling Effectiveness Measurement of High Performance Combustion Liner Slot Jets." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91783.

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Abstract The present study experimentally investigates adiabatic film cooling effectiveness for high performance flow auxetic geometries (S-Slot and Ellipsoid). Both geometries are auxetic structures that were designed around a Negative Poisson Ratio (NPR). Manufactured NPR combustion liners offer higher quality fracture resistance [1] and high energy absorption [2]. Film cooling effectiveness results for test geometries were non-dimensionalized by a baseline case of circular inline orifices. Non-intrusive pressure sensitive paint (PSP) technique was utilized to obtain local surface pressure g
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Riley, S. J., and E. H. James. "The Influence of Various Exhaust Geometrical Parameters on the Effectiveness of an Aero-Engine Intake Thermal Anti-Icing System." In ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/94-gt-275.

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Anti-icing air from the internal nose cowl regions of aircraft engines exits via an exhaust slot to join the engine intake air upstream of the compressor. It is important that this still hot air be used efficiently downstream of the exhaust slot to effect heating of the downstream surface (acoustic liner) to facilitate the prevention of ice build-up at this point. To this end, various exhaust slot geometry designs have been investigated in an experimental study to provide guidelines to assist in this aim. The most significant variables were found to be assembly length, slot depth, exit plane w
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Bai, Bo, Zhigang Li, Jun Li, et al. "Effects of Upstream Step Geometry on Axisymmetric Converging Vane Endwall Heat Transfer and Film Cooling at Transonic Conditions." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16154.

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Abstract In real gas turbine engines, a gap/step interface commonly exits between upstream of the inlet guide vane endwall and combustor, called upstream endwall misalignment, due to the errors of assembly and the thermal expansion. This endwall misalignment, commonly being presented as the gap/step geometry with different heights, has a significant effect on the endwall heat transfer and film cooling coverage distributions. This paper presents a detailed experimental and numerical study on the effects of upstream endwall misalignment (step geometry) on the vane endwall heat transfer and film
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