Relevant bibliographies by topics / Singularities (Mathematics) Hypersurfaces. Algebraic varieties

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  1. Journal articles
  2. Dissertations / Theses
  3. Books

Academic literature on the topic 'Singularities (Mathematics) Hypersurfaces. Algebraic varieties'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Singularities (Mathematics) Hypersurfaces. Algebraic varieties"

1

Nowak, Krzysztof Jan. "Definable Transformation to Normal Crossings over Henselian Fields with Separated Analytic Structure." Symmetry 11, no. 7 (2019): 934. http://dx.doi.org/10.3390/sym11070934.

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We are concerned with rigid analytic geometry in the general setting of Henselian fields K with separated analytic structure, whose theory was developed by Cluckers–Lipshitz–Robinson. It unifies earlier work and approaches of numerous mathematicians. Separated analytic structures admit reasonable relative quantifier elimination in a suitable analytic language. However, the rings of global analytic functions with two kinds of variables seem not to have good algebraic properties such as Noetherianity or excellence. Therefore, the usual global resolution of singularities from rigid analytic geome
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Bogomolov, Fedor A., Paolo Cascini, and Bruno de Oliveira. "Singularities on complete algebraic varieties." Central European Journal of Mathematics 4, no. 2 (2006): 194–208. http://dx.doi.org/10.2478/s11533-006-0005-x.

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Schmidt, Wolfgang M. "Diophantine approximation by algebraic hypersurfaces and varieties." Transactions of the American Mathematical Society 359, no. 5 (2006): 2221–41. http://dx.doi.org/10.1090/s0002-9947-06-04014-1.

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Shustin, Eugenii, and Ilya Tyomkin. "Versal deformation of algebraic hypersurfaces with isolated singularities." Mathematische Annalen 313, no. 2 (1999): 297–314. http://dx.doi.org/10.1007/s002080050262.

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Bochnak, J., and W. Kucharz. "Real algebraic hypersurfaces in complex projective varieties." Mathematische Annalen 301, no. 1 (1995): 381–97. http://dx.doi.org/10.1007/bf01446635.

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Hauser, Herwig, and Josef Schicho. "Forty questions on singularities of algebraic varieties." Asian Journal of Mathematics 15, no. 3 (2011): 417–36. http://dx.doi.org/10.4310/ajm.2011.v15.n3.a5.

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7

BROWN, GAVIN. "Flips arising as quotients of hypersurfaces." Mathematical Proceedings of the Cambridge Philosophical Society 127, no. 1 (1999): 13–31. http://dx.doi.org/10.1017/s0305004198003351.

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Flips occur in the theory of minimal models of algebraic varieties. For an introduction and references see [1, lecture no. 5]. For varieties X− and X+, I denote the canonical class by K− and respectively. A flip is a diagram X−→X←X+ of normal complex quasiprojective 3-folds satisfying the conditions:1. both morphisms are birational and projective, contracting only finitely many curves C±⊂X± to an isolated singular point P∈X;2. the divisors −K− and K+ are relatively ample, that is, −K−Γ>0 for any curve Γ contracted by the morphism X−→X and similarly for K+;3. the two varieties X− and X+ have
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8

Bérczi, Gergely. "Thom Polynomials and the Green–Griffiths–Lang Conjecture for Hypersurfaces with Polynomial Degree." International Mathematics Research Notices 2019, no. 22 (2017): 7037–92. http://dx.doi.org/10.1093/imrn/rnx332.

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Abstract Green and Griffiths [25] and Lang [29] conjectured that for every complex projective algebraic variety X of general type there exists a proper algebraic subvariety of X containing all nonconstant entire holomorphic curves $f:{\mathbb{C}} \to X$. We construct a compactification of the invariant jet differentials bundle over complex manifolds motivated by an algebraic model of Morin singularities and we develop an iterated residue formula using equivariant localisation for tautological integrals over it. Using this we show that the polynomial Green–Griffiths–Lang conjecture for a generi
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9

Iguchi, Kazumoto. "Universal Algebraic Varieties and Ideals in Physics: Field Theory on Algebraic Varieties." International Journal of Modern Physics B 11, no. 21 (1997): 2533–92. http://dx.doi.org/10.1142/s0217979297001283.

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A class of universal algebraic varieties in physics is discussed herein using the concepts of determinant ideals in algebraic geometry. It is shown that these algebraic varieties arise with very different physical contexts in many branches of physics and mathematics from high energy physics theory to chaos theory. In these physical systems the models are constructed by using the fields on usual manifolds such as vector fields in a Euclidean space and a Minkowskian space. But there is a universal mathematical aspect of linear algebra for linear vector spaces, where the linear independency and d
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10

Wentsün, Wu. "On Chern numbers of algebraic varieties with arbitrary singularities." Acta Mathematica Sinica 3, no. 3 (1987): 227–36. http://dx.doi.org/10.1007/bf02560036.

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Dissertations / Theses on the topic "Singularities (Mathematics) Hypersurfaces. Algebraic varieties"

1

Doherty, Davis C. "On singularities of generic projection hypersurfaces /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5759.

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Books on the topic "Singularities (Mathematics) Hypersurfaces. Algebraic varieties"

1

Dimca, Alexandru. Singularities and topology of hypersurfaces. Springer-Verlag, 1992.

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2

Polynomials and vanishing cycles. Cambridge University Press, 2007.

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3

Bernard, Gaveau, ed. Differential forms on singular varieties: De Rham and Hodge theory simplified. Chapman & Hall/CRC, 2006.

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1949-, Libgober A. (Anatoly), Cogolludo-Agustín José Ignacio, and Hironaka Eriko 1962-, eds. Topology of algebraic varieties and singularities: Conference in honor of Anatoly Libgober's 60th birthday, June 22-26, 2009, Jaca, Huesca, Spain. American Mathematical Society, 2011.

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Zbigniew, Hajto, ed. Algebraic groups and differential Galois theory. American Mathematical Society, 2011.

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6

Ancona, Vincenzo, and Bernard Gaveau. Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified. Taylor & Francis Group, 2005.

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7

Ancona, Vincenzo, and Bernard Gaveau. Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified (Pure and Applied Mathematics). Chapman & Hall/CRC, 2005.

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