Relevant bibliographies by topics / Algebraic singularity

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

Academic literature on the topic 'Algebraic singularity'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Algebraic singularity"

1

Lafortune, S., and A. Goriely. "Singularity confinement and algebraic integrability." Journal of Mathematical Physics 45, no. 3 (2004): 1191–208. http://dx.doi.org/10.1063/1.1640797.

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Hamid Yasser Al-Yassery, Dr Kamal, and Zahraa Hameed Ali Al-Kafaji. "Perturbed Taylor expansion for bifurcation of solution of singularly parameterized perturbed ordinary differentia equations and differential algebraic equations." Journal of Education for Pure Science- University of Thi-Qar 10, no. 2 (2021): 219–34. http://dx.doi.org/10.32792/jeps.v10i2.80.

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In This paper deals with the study of singularity perturbed ordinary differential equation, and is considered the basis for obtaining the system of differential algebraic equations. In this study the we use implicit function theorem to solve for fast variable y to get a reduced model in terms of slow dynamics locally around x. It is well known that solving nonlinear algebraic equations analytical is quite difficult and numerical solution methods also face many uncertainties since nonlinear algebraic equations may have many solutions, especially around bifurcation points. We have used singularl
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Xu, Chenyang. "Finiteness of algebraic fundamental groups." Compositio Mathematica 150, no. 3 (2014): 409–14. http://dx.doi.org/10.1112/s0010437x13007562.

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Fan, Jian Hui, Bin Li, and Xin Hua Zhao. "Kinematics and Singularity Analyses of a 2-RPU&SPR Parallel Manipulator." Applied Mechanics and Materials 441 (December 2013): 568–71. http://dx.doi.org/10.4028/www.scientific.net/amm.441.568.

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In this paper, kinematics and singularity of a 2-RPU&SPR parallel mechanism are analyzed by algebraic method. Firstly, the inverse kinematics of the parallel mechanism is derived. Secondly, the Jacobian matrix of the parallel mechanism is obtained and the singularity of the mechanism is analyzed. Finally, the correctness of singularity analysis of the mechanism is verified by numerical simulations.
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Polishchuk, Alexander, and Arkady Vaintrob. "Matrix factorizations and cohomological field theories." Journal für die reine und angewandte Mathematik (Crelles Journal) 2016, no. 714 (2016): 1–122. http://dx.doi.org/10.1515/crelle-2014-0024.

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Amari, Shun-ichi, and Hiroyuki Nakahara. "Difficulty of Singularity in Population Coding." Neural Computation 17, no. 4 (2005): 839–58. http://dx.doi.org/10.1162/0899766053429426.

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Fisher information has been used to analyze the accuracy of neural population coding. This works well when the Fisher information does not degenerate, but when two stimuli are presented to a population of neurons, a singular structure emerges by their mutual interactions. In this case, the Fisher information matrix degenerates, and the regularity condition ensuring the Cramér-Rao paradigm of statistics is violated. An animal shows pathological behavior in such a situation. We present a novel method of statistical analysis to understand information in population coding in which algebraic singul
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Yasir, Kamal H., and Zahraa A. Mutar. "Bifurcation in Singularity Parameterized ODEs." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 1 (2016): 5808–16. http://dx.doi.org/10.24297/jam.v12i1.592.

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In this paper we will study differential algebraic equations (DAEs) through studying singularly perturbed ODEs. That's the ODEs will be transformed to an DAEs when the perturbed parameter approach to 0. This will permit us to apply the classicalbifurcation theory of ODEs for the new system (DAEs). So we will show by giving theorems, sufficient conditions for fold, pitchfork and transcritical bifurcation to be occurred in (DAEs). An illustrative example is given.
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Mourtada, Hussein. "Hilbert meets Ramanujan: Singularity theory and integer partitions." Bulletin of the American Mathematical Society 62, no. 1 (2024): 93–111. https://doi.org/10.1090/bull/1854.

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Raptis, Ioannis. "Finitary-Algebraic ‘Resolution’ of the Inner Schwarzschild Singularity." International Journal of Theoretical Physics 45, no. 1 (2006): 79–128. http://dx.doi.org/10.1007/s10773-005-9011-1.

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Cutkosky, S. Dale, and Hema Srinivasan. "The Algebraic Fundamental Group of a Curve Singularity." Journal of Algebra 230, no. 1 (2000): 101–26. http://dx.doi.org/10.1006/jabr.1999.7941.

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Dissertations / Theses on the topic "Algebraic singularity"

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Karzhemanov, Ilya. "Fano threefolds and algebraic families of surfaces of Kodaira dimension zero." Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/33321.

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The thesis consists of four chapters. First chapter is introductory. In Chapter 2, we recall some basic facts from the singularity theory of algebraic varieties (see Section 2.2) and the theory of minimal models (see Section 2.3), which will be used throughout the rest of the thesis. We also make some conventions on the notions and notation used in the thesis (see Section 2.1). Each Chapter 3 and 4 starts with some preliminary results (see Sections 3.1 and 4.1, respectively). Each Chapter 3 and 4 ends with some corollaries and conclusive remarks (see Sections 3.7 and 4.4, respectively). In Cha
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Shi, Chunchao. "Linear differential algebraic equations of higher order and the regularity or singularity of matrix polynomials." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=971887314.

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Lemberger, Benjamin Kurt. "The one place we're trying to get to is just where we can't get: algebraic speciality and gravito-electromagnetism in Bianchi type IX." Oberlin College Honors Theses / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1400163799.

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Pan, Feng. "Singularités quotient et produits symétriques." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10197.

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Dans ce travail nous presentons une methode constructive pour obtenir des desingularisations algebriques des singularites quotient, c'est a dire un espace affine quotiente par un sous-groupe fini du groupe des matrices inversibles. Celle-ci repose de facon essentielle sur des methodes toriques, est donc differente de la methode generale de h. Hironaka. Nous appliquons ensuite cette methode generale au cas de dimension trois et nous construisons explicitement des resolutions crepantes quand c'est un sous-groupe fini, reductible ou irreductible avec un centre non trivial, du groupe lineaire spec
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Perlmutter, Nathan. "Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds." Thesis, University of Oregon, 2015. http://hdl.handle.net/1794/19241.

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Let n > 1. We prove a homological stability theorem for the diffeomorphism groups of (4n+1)-dimensional manifolds, with respect to forming the connected sum with (2n-1)-connected, (4n+1)-dimensional manifolds that are stably parallelizable. Our techniques involve the study of the action of the diffeomorphism group of a manifold M on the linking form associated to the homology groups of M. In order to study this action we construct a geometric model for the linking form using the intersections of embedded and immersed Z/k-manifolds. In addition to our main homological sta
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Thomas, Gabriel. "Contributions théoriques et algorithmiques à l'étude des équations différencielles-algébriques : Approche par le calcul formel." Grenoble INPG, 1997. http://www.theses.fr/1997INPG0095.

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Cette thèse de Calcul Formel présente une étude des Equations Différentielles-Algébriques (ou avec contraintes), de type polynomiales et quasilinéaires. Il faut en général dériver ces équations pour pouvoir décider de l'existence de solutions. Ce nombre de dérivations est appelé indice par les numériciens. La première partie précise la définition de l'indice, par une approche algébrique du problème, qui est ensuite comparée aux travaux récents en algèbre différentielle, théorie créée par J. F. Ritt vers 1940. Nous montrons que l'indice ne dépend que des composantes irréductibles de la variété
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Deddi, Hafsa. "Dualité géométrique et relations de correspondance entre courbes primales et duales." Phd thesis, Université Joseph Fourier (Grenoble), 1997. http://tel.archives-ouvertes.fr/tel-00004935.

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Cette thèse est une étude de base qui traite de la transformation de la dualité géométrique entre un point et un hyperplan d'un espace affine. Une étape indispensable est alors d'établir une définition rigoureuse de la dualité géométrique ainsi que ses propriétés et caractéristiques. Cette notion de dualité peut se généraliser pour toute forme géométrique décrite à l'aide d'une famille de points ou d'hyperplans. Ainsi une courbe duale d'une courbe paramétrique plane est définie comme enveloppe d'une famille de droites. Ces courbes duales sont ensuite analysées pour trouver des relations de cor
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Lauber, Marianne. "Nombres de Lelong et nombres de Milnor d'une singularité isolée." Grenoble 1, 1993. http://www.theses.fr/1993GRE10028.

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L'objet de cette these est de relier entre elles deux grandeurs importantes, l'une en theorie des courants le nombre de lelong et l'autre en geometrie algebrique locale le nombre de milnor, ou plus generalement la multiplicite. Cette etude nous permet de donner une nouvelle preuve, plus analytique, d'un theoreme du a f. Loeser, qui met en relation les nombres de milnor d'une fonction a singularite isolee et des integrales des formes de chern associees aux fibres non singulieres. Par ailleurs, nous proposons une generalisation des nombres de lelong microlocaux introduits par l. Abrahamsson et n
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Bouvier-Joly, Catherine. "Une approche des diviseurs essentiels des singularités algébriques." Grenoble 1, 1993. http://www.theses.fr/1993GRE10027.

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Pour une variete algebrique v, on cherche ici a caracteriser ceux parmi les diviseurs exceptionnels d'une desingularisation de v qui apparaissent aussi sur toutes les autres. Ils sont dits essentiels relativement a v. On se pose egalement le probleme de l'existence d'une desingularisation essentielle de v, dont les diviseurs exceptionnels sont les diviseurs exceptionnels sont tous essentiels. Une variete v torique et affine est associee a un semi-groupe dans un reseau; on en etudie le systeme generateur minimal g. On montre que les diviseurs essentiels pour les desingularisations equivariantes
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Viu, Sos Juan. "Periods and line arrangements : contributions to the Kontsevich-Zagier period conjecture and to the Terao conjecture." Thesis, Pau, 2015. http://www.theses.fr/2015PAUU3022/document.

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La première partie concerne un problème de théorie des nombres, pour laquel nous développons une approche géométrique basé sur des outils provenant de la géométrie algébrique et de la géométrique combinatoire. Introduites par M. Kontsevich et D. Zagier en 2001, les périodes sont des nombres complexes obtenus comme valeurs des intégrales d'une forme particulier, où le domaine et l'intégrande s'expriment par des polynômes avec coefficients rationnels. La conjecture de périodes de Kontsevich-Zagier affirme que n'importe quelle relation polynomiale entre périodes peut s'obtenir par des relations l
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Books on the topic "Algebraic singularity"

1

Siersma, D. New Developments in Singularity Theory. Springer Netherlands, 2001.

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Arnol'd, V. I. Dynamical Systems VIII: Singularity Theory II. Applications. Springer Berlin Heidelberg, 1993.

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M, Matzeu, Vignoli Alfonso 1940-, and Topological Analysis Workshop on Degree, Singularity and Variations (2nd : 1995 : Frascati, Italy), eds. Topological nonlinear analysis II: Degree, singularity, and variations. Birkhäuser, 1997.

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France) Colloque Systèmes différentiels et singulatiés (1983 Marseille-Luminy. Systèmes différentiels et singularités. Société mathématique de France, 1985., 1985.

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Herzog, Bernd. Kodaira-Spencer maps in local algebra. Springer-Verlag, 1994.

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Singularités et géométrie sous-rémannienne (Conference) (1997 Université de Savoie). Singularités et géométrie sous-rémannienne: Colloque international LAMA (Chambéry-Université de Savoie) 8-10 octobre 1997. Hermann, 2000.

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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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Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Fizmatlit Publisher, 2021.

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Arnold, V. I., V. V. Goryunov, O. V. Lyashko, and V. A. Vasil'ev. Singularity Theory I (Encyclopaedia of Mathematical Sciences, 6). Springer, 1998.

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Book chapters on the topic "Algebraic singularity"

1

Maxim, Laurenţiu G., Jose Israel Rodriguez, and Botong Wang. "Applications of Singularity Theory in Applied Algebraic Geometry and Algebraic Statistics." In Handbook of Geometry and Topology of Singularities VII. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-68711-2_14.

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Némethi, András, and Ágnes Szilárd. "The Algebraic Monodromy of H 1(∂ F): Starting Point." In Milnor Fiber Boundary of a Non-isolated Surface Singularity. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23647-1_14.

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Greuel, Gert-Martin. "Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving." In European Congress of Mathematics. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8266-8_13.

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Lafortune, S., A. Ramani, B. Grammaticos, Y. Ohta, and K. Tamizhmani. "Blending two discrete integrability criteria: Singularity confinement and algebraic entropy." In Bäcklund and Darboux Transformations. The Geometry of Solitons. American Mathematical Society, 2001. http://dx.doi.org/10.1090/crmp/029/27.

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Greuel, G. M., C. Lossen, and M. Schulze. "Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory." In Applications of Algebraic Geometry to Coding Theory, Physics and Computation. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-1011-5_9.

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Weber, Claude. "A topological interpretation for the polar quotients of an algebraic plane curve singularity." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081472.

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Kiyek, K., and J. L. Vicente. "The Singularity Zq = XYp." In Algebras and Applications. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2029-2_6.

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Gonzalez-Sprinberg, G., and M. Lejeune-Jalabert. "Sur L’espace Des Courses Tracées Sur Une Singularité." In Algebraic Geometry and Singularities. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9020-5_2.

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Roy, S., and A. Roy Chowdhury. "Lie Algebra, Bi-Hamiltonian Structure and Reduction Problem for Integrable Nonlinear Systems." In Symmetries and Singularity Structures. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-76046-4_5.

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Roy Chowdhury, A. "On the Role of Virasoro, Kac-Moody Algebra and Conformal Invariance in Soliton Hierarchies." In Symmetries and Singularity Structures. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-76046-4_6.

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Conference papers on the topic "Algebraic singularity"

1

Koike, Satoshi. "Finiteness theorems on Blow-Nash triviality for real algebraic singularities." In Geometric Singularity Theory. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc65-0-10.

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Tsuboi, Shoji. "The Euler number of the normalization of an algebraic threefold with ordinary singularities." In Geometric Singularity Theory. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc65-0-17.

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Ohta, Hiroshi, and Kaoru Ono. "An inequality for symplectic fillings of the link of a hypersurface K3 singularity." In Algebraic Topology - Old and New. Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc85-0-6.

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ZAJAC, MARIUSZ. "CENTRE SYMMETRY SETS AND OTHER INVARIANTS OF ALGEBRAIC SETS." In Proceedings of the 2005 Marseille Singularity School and Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812707499_0042.

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Keyou Wang and Mariesa L. Crow. "Investigation on singularity of stochastic differential algebraic power system model." In 2011 North American Power Symposium (NAPS 2011). IEEE, 2011. http://dx.doi.org/10.1109/naps.2011.6025098.

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Teramoto, Hiroshi, and Katsusuke Nabeshima. "Parametric standard system for mixed module and its application to singularity theory." In ISSAC '20: International Symposium on Symbolic and Algebraic Computation. ACM, 2020. http://dx.doi.org/10.1145/3373207.3404027.

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Jha, R., D. Chablat, F. Rouillier, and G. Moroz. "An Algebraic Method to Check the Singularity-Free Paths for Parallel Robots." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46230.

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Trajectory planning is a critical step while programming the parallel manipulators in a robotic cell. The main problem arises when there exists a singular configuration between the two poses of the end-effectors while discretizing the path with a classical approach. This paper presents an algebraic method to check the feasibility of any given trajectories in the workspace. The solutions of the polynomial equations associated with the trajectories are projected in the joint space using Gröbner based elimination methods and the remaining equations are expressed in a parametric form where the art
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Tale Masouleh, Mehdi, and Cle´ment Gosselin. "Kinematic Analysis and Singularity Representation of 5-RPRRR Parallel Mechanisms." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35281.

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This paper presents a novel type of five-degree-of-freedom parallel mechanism generating the 3T2R motion with linear inputs. The kinematic geometry of the mechanism is presented and several important kinematic issues including the inverse kinematic problem, the vector-loop velocity equations, the constant orientation workspace and the singularity configurations are investigated. The principal contribution of this study is the determination of the workspace based on algebraic geometry (Bohemian domes) and the study of the the singularity configurations. Based on the results, some optimization h
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Zhang, Junyi, Guodong Zhang, and Lulu Zhu. "Feedback control for singularity induced bifurcation of a differential-algebraic biological economic system." In 2012 IEEE International Conference on Information Science and Technology (ICIST). IEEE, 2012. http://dx.doi.org/10.1109/icist.2012.6221597.

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Bichi, Sirajo Lawan, Z. K. Eshkuvatov, N. M. A. Nik Long, and Fudziah Ismail. "Construction of cubature formula for double integration with algebraic singularity by spline polynomial." In 2015 International Conference on Research and Education in Mathematics (ICREM7). IEEE, 2015. http://dx.doi.org/10.1109/icrem.2015.7357052.

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Reports on the topic "Algebraic singularity"

1

Yan, Xiaopu. Singularly Perturbed Differential/Algebraic Equations. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada288365.

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Lou, Xi-Cheng, Alan S. Willsky, and George C. Verghese. An Algebraic Approach to Time Scale Analysis of Singularly Perturbed Linear Systems,. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada186040.

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