Relevant bibliographies by topics / Algebraic geometry – Cycles and subschemes – Algebraic cycles

Contents

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

Academic literature on the topic 'Algebraic geometry – Cycles and subschemes – Algebraic cycles'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Algebraic geometry – Cycles and subschemes – Algebraic cycles"

1

Bochnak, J., and W. Kucharz. "Algebraic cycles and approximation theorems in real algebraic geometry." Transactions of the American Mathematical Society 337, no. 1 (1993): 463–72. http://dx.doi.org/10.1090/s0002-9947-1993-1091703-8.

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Kucharz, W. "Algebraic cycles and algebraic models of smooth manifolds." Journal of Algebraic Geometry 11, no. 1 (2002): 101–27. http://dx.doi.org/10.1090/s1056-3911-01-00292-2.

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Lawson, H. Blaine, Paulo Lima-Filho, and Marie-Louise Michelsohn. "Algebraic cycles and the classical groups. I: real cycles." Topology 42, no. 2 (2003): 467–506. http://dx.doi.org/10.1016/s0040-9383(02)00018-6.

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Lawson, H. Blaine, Paulo Lima-Filho, and Marie-Louise Michelsohn. "Algebraic cycles and the classical groups II: Quaternionic cycles." Geometry & Topology 9, no. 3 (2005): 1187–220. http://dx.doi.org/10.2140/gt.2005.9.1187.

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Kucharz, W. "Rational and Homological Equivalence of Real Algebraic Cycles." Geometriae Dedicata 106, no. 1 (2004): 113–22. http://dx.doi.org/10.1023/b:geom.0000033843.51281.42.

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Kucharz, W. "Algebraic cycles and realification of complex projective varieties." Geometriae Dedicata 54, no. 3 (1995): 317–22. http://dx.doi.org/10.1007/bf01265347.

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Teh, Jyh-Haur, and Chin-Jui Yang. "Real rectifiable currents, holomorphic chains and algebraic cycles." Complex Manifolds 8, no. 1 (2021): 274–85. http://dx.doi.org/10.1515/coma-2020-0119.

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Abstract We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains. Our main tool is Siu’s semi-continuity theorem and our proof largely simplifies King’s proof. A consequence of this result is a sufficient condition for the Hodge conjecture.
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MAXIM, LAURENŢIU G. "NOTES ON VANISHING CYCLES AND APPLICATIONS." Journal of the Australian Mathematical Society 109, no. 3 (2020): 371–415. http://dx.doi.org/10.1017/s1446788720000403.

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AbstractVanishing cycles, introduced over half a century ago, are a fundamental tool for studying the topology of complex hypersurface singularity germs, as well as the change in topology of a degenerating family of projective manifolds. More recently, vanishing cycles have found deep applications in enumerative geometry, representation theory, applied algebraic geometry, birational geometry, etc. In this survey, we introduce vanishing cycles from a topological perspective and discuss some of their applications.
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Hadian, Majid. "Algebraic cycles satisfying the Maurer-Cartan equation and the unipotent fundamental group of curves." Journal of K-Theory 11, no. 2 (2013): 351–92. http://dx.doi.org/10.1017/is013002015jkt216.

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AbstractWe address the question of lifting the étale unipotent fundamental group of curves to the level of algebraic cycles and show that a sequence of algebraic cycles whose sum satisfies the Maurer-Cartan equation would do the job. For any elliptic curve with the origin removed and the curve $\double-struck(G)_m\$, we construct such a sequence of algebraic cycles whose image under the cycle map gives rise to the étale unipotent fundamental group of the curve.
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Ikeda, Atsushi. "Algebraic cycles and infinitesimal invariants on Jacobian varieties." Journal of Algebraic Geometry 12, no. 3 (2003): 573–603. http://dx.doi.org/10.1090/s1056-3911-03-00360-6.

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Dissertations / Theses on the topic "Algebraic geometry – Cycles and subschemes – Algebraic cycles"

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Mikami, Ryota. "Tropical geometry and algebraic cycles." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263437.

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Mboro, René. "Birational invariants : cohomology, algebraic cycles and Hodge theory cohomologie." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX049/document.

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Dans cette thèse, nous étudions certains invariants birationnels des variétés projectives lisses, en lien avec les questions de rationalité de ces variétés. Elle se compose de trois chapitres qui peuvent être lus indépendamment.Dans le premier chapitre, nous étudions, pour certaines familles de variétés, certains invariants birationnels stables, nuls pour l'espace projectif, apparaissant naturellement avec les formules de Manin. D'une part, nous montrons que l'invariant birationnel qu'est le groupe des cycles de torsion de codimension 3 contenus dans le noyau de l'application classe de cycle d
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Kioulos, Charalambos. "From Flag Manifolds to Severi-Brauer Varieties: Intersection Theory, Algebraic Cycles and Motives." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40716.

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The study of algebraic varieties originates from the study of smooth manifolds. One of the focal points is the theory of differential forms and de Rham cohomology. It’s algebraic counterparts are given by algebraic cycles and Chow groups. Linearizing and taking the pseudo-abelian envelope of the category of smooth projective varieties, one obtains the category of pure motives. In this thesis, we concentrate on studying the pure Chow motives of Severi-Brauer varieties. This has been a subject of intensive investigation for the past twenty years, with major contributions done by Karpenko,
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Gregory, Ray N. "Cyclic cutwidth of three dimensional cubes." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1400.

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Clarke, Dwayne William. "The cyclic cutwidth of mesh cubes." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2329.

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This project's purpose was to understand the workings of a new theorem introduced in a professional paper on the cutwidth of meshes and then use this knowledge to apply it to the search for the cyclic cutwidth of the n-cube.
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Namekata, James Shigeo. "A lower bound for the cyclic cutwidth of the n-cube." CSUSB ScholarWorks, 1999. https://scholarworks.lib.csusb.edu/etd-project/1847.

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Teyssier, Jean-Baptiste. "Autour de l'irrégularité des connexions méromorphes." Phd thesis, Ecole Polytechnique X, 2013. http://pastel.archives-ouvertes.fr/pastel-00879175.

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Les deux premières parties de cette thèse s'inscrivent dans le contexte des analogies entre l'irrégularité pour les connexions méromorphes et la ramification sauvage des faisceaux l-adiques. On y développe l'analogue pour les connexions méromorphes de la construction d'Abbes et Saito, tout d'abord dans le cas d'un trait, puis en dimension supérieure. En première partie, on prouve une formule explicite reliant les invariants produits par la construction d'Abbes et Saito appliquée à un module différentiel M aux parties les plus polaires des formes différentielles intervenant dans la décompositio
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Dang, Nguyen-Bac. "Croissance des degrés d'applications rationnelles en dimension 3." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX044/document.

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Cette thèse comporte trois chapitres indépendants portant sur l’itération des applicationsrationnelles sur des variétés projectives et plus spécifiquement sur l’étude du comportement dela suite des degrés des itérés de telles applications.Dans le premier chapitre, nous donnons une construction des invariants fondamentaux quesont les degrés dynamiques dans un cadre très général, et ce sans hypothèse ni sur la caractéristique ni sur les singularités de l’espace ambiant. Cette construction repose sur des propriétésde positivité des cycles algébriques, et propose une alternative aux approches anal
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Pippi, Massimo. "Catégories des singularités, factorisations matricielles et cycles évanescents." Thesis, Toulouse 3, 2020. http://www.theses.fr/2020TOU30049.

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Le but de cette thèse est d'étudier les dg-catégories de singularités Sing(X, s), associées à des couples (X, s), où X est un schéma et s est une section d'un fibré vectoriel sur X. La dg-catégorie Sing(X, s) est définie comme le noyau du dg foncteur de Sing(X0) vers Sing(X) induit par l'image directe le long de l'inclusion du lieu de zéros (dérivé) X0 de s dans X. Dans une première partie, nous supposons que le fibré vectoriel est trivial de rang n. On démontre alors un théorème de structure pour Sing(X, s) dans le cas où X = Spec(B) est affine. Cet énoncé affirme que tout objet de Sing(X, s)
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Hu, Haoyu. "Ramification et cycles proches pour les faisceaux ℓ-adiques sur un schéma au-dessus d'un trait". Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-01073249.

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Dans cette thèse, on étude le complexe des cycles proches d'un faisceau l-adique sur un schéma au-dessus d'un trait en utilisant la théorie de ramification d'Abbes et Saito. La première partie est consacrée à une nouvelle preuve d'une formule de Deligne et Kato qui calcule la dimension du complexe des cycles proches d'un faisceau l-adique sur une courbe relative lisse au-dessus d'un trait strictement local. Deligne a considéré le cas où le faisceau n'a pas de ramification verticale, et Kato a traité le cas général. Notre approche est basée sur une notion locale de cycle caractéristiquedéfinie
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Books on the topic "Algebraic geometry – Cycles and subschemes – Algebraic cycles"

1

Jan, Nagel, and Peters C. (Chris), eds. Lectures on the theory of pure motives. American Mathematical Society, 2013.

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Kennedy, Gary, Ana-Maria Castravet, and Emanuele Macri. Hodge theory and classical algebraic geometry: A conference on Hodge theory and classical algebraic geometry : May 13-15, 2013, the Ohio State University, Columbus, Ohio. Edited by Caibár Mirel 1967-. American Mathematical Society, 2015.

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Regulators: Regulators III conference, July 12-22, 2010, Barcelona, Spain. American Mathematical Society, 2012.

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Lectures on algebraic cycles. 2nd ed. Cambridge University Press, 2010.

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Doran, Robert S., 1937- editor of compilation, Friedman, Greg, 1973- editor of compilation, and Nollet, Scott, 1962- editor of compilation, eds. Hodge theory, complex geometry, and representation theory: NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas. American Mathematical Society, 2013.

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Polynomials and vanishing cycles. Cambridge University Press, 2007.

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Gordon, B. Brent, James D. Lewis, Stefan Müller-Stach, Shuji Saito, and Noriko Yui, eds. The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0.

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1948-, Rapoport M., and Yang Tonghai 1963-, eds. Modular forms and special cycles on Shimura curves. Princeton University Press, 2006.

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1923-1987, Chen K. T., ed. Iterated integrals and cycles on algebraic manifolds. World Scientific, 2004.

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Colliot-Thélène, J. L. Arithmetic algebraic geometry. Edited by Kato K, Vojta Paul 1957-, Ballico E. 1955-, and Centro internazionale matematico estivo. Springer-Verlag, 1993.

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Book chapters on the topic "Algebraic geometry – Cycles and subschemes – Algebraic cycles"

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Beilinson, A. A. "Height pairing between algebraic cycles." In K-Theory, Arithmetic and Geometry. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078364.

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Bruns, Winfried, Aldo Conca, and Tim Römer. "Koszul Cycles." In Combinatorial Aspects of Commutative Algebra and Algebraic Geometry. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19492-4_2.

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Murre, J. P. "Algebraic Cycles on Abelian Varieties." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_11.

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Jannsen, Uwe. "Equivalence Relations on Algebraic Cycles." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_7.

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Kahn, Bruno. "Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry." In Handbook of K-Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-27855-9_9.

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Müller-Stach, Stefan. "Algebraic Cycle Complexes." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_10.

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Gordon, B. Brent, and James D. Lewis. "Indecomposable Higher Chow Cycles." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_6.

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Srinivas, V. "Zero Cycles on Singular Varieties." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_13.

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Raskind, Wayne. "Torsion Algebraic Cycles on Varieties Over Local Fields." In Algebraic K-Theory: Connections with Geometry and Topology. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2399-7_12.

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Bloch, Spencer, and Hélène Esnault. "Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles." In The Arithmetic and Geometry of Algebraic Cycles. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4098-0_1.

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Conference papers on the topic "Algebraic geometry – Cycles and subschemes – Algebraic cycles"

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Najar, F., S. Choura, E. M. Abdel-Rahman, S. El-Borgi, and A. H. Nayfeh. "Dynamics of Variable-Geometry Electrostatic Microactuators." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14017.

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This paper investigates the dynamic behavior of a microbeam-based electrostatic microactuator. The cross-section of the microbeam under consideration varies along its length. A mathematical model, accounting for the system nonlinearities due to mid-plane stretching and electrostatic forcing, is adopted and used to examine the microbeam dynamics. The Differential Quadrature Method (DQM) and Finite Difference Method (FDM) are used to discretize the partial-differential-integral equation representing the microbeam dynamics. The resulting nonlinear algebraic system is solved for the limit cycles o
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Lee, Chung-Ching. "A Geometric-Algebraic Exploration of Two Kinds of Schatz 6R Linkages." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5903.

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Abstract The generation of two kinds of Schatz six-revolute linkages is first delineated from the view point of geometry and then, the general analytical kinematic closed-form solutions of both types are developed by matrix algebra and its differentiation for confirming the constrained motion and further application. The full cycle range of motion about the input link for these linkages is also verified by using the matrix differential closure loop equation. Furthermore, based on the six-by-six screw coordinate transformation matrix, we establish the algebraic formulas of screw coordinates of
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Ruiz, O. E., and P. M. Ferreira. "Geometric Reasoning in the Analysis of Assemblies and Mechanisms." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0233.

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Abstract Geometric Reasoning ability is central to many applications in CAD / CAM / CAPP environments. An increasing demand exists for Geometric Reasoning systems which evaluate the feasibility of virtual scenes specified by geometric relations. Thus, the Geometric Constraint Satisfaction or Scene Feasibility (GCS/SF) problem consists of a basic scenario containing geometric entities, whose context is used to propose constraining relations among still undefined entities. If the constraint specification is consistent, the answer of the problem is one of finitely or infinitely many solution scen
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