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Books on the topic 'Algebraic singularity'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

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

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2

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

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3

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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4

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

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5

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

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6

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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7

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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8

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

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9

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

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10

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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11

Némethi, András, and Ágnes Szilárd. Milnor Fiber Boundary of a Non-isolated Surface Singularity. Springer, 2012.

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12

Matzeu, Michele, and Alfonso Vignoli. Topological Nonlinear Analysis II: Degree, Singularity and Variations. Birkhauser Verlag, 2012.

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13

Trang, Le D. Singularities in Geometry and Topology: Proceedings of the Trieste Singularity Summer School and Workshop. World Scientific Publishing Co Pte Ltd, 2007.

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14

Singularities in Geometry and Topology: Proceedings of the Trieste Singularity Summer School and Workshop. World Scientific Publishing Co Pte Ltd, 2007.

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15

(Editor), Jean-Paul Brasselet, James Damon (Editor), Le Dung Trang (Editor), and Mutsuo Oka (Editor), eds. Singularities in Geometry and Topology: Proceedings of the Trieste Singularity Summer School and Workshop Ictp, Trieste, Italy, 15 August - 3 September 2005. World Scientific Publishing Company, 2007.

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16

Matzeu, Michele, and Alfonso Vignoli. Topological Analysis Workshop on Degree, Singularity and Variations (Progress in Nonlinear Differential Equations and Their Applications). Birkhauser, 1997.

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17

Cataldo, Mark Andrea de, Luca Migliorini Lectures 4–5, and Mark Andrea de Cataldo. The Hodge Theory of Maps. Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0006.

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Abstract:

This chapter showcases two further lectures on the Hodge theory of maps, and they are mostly composed of exercises. The first lecture details a minimalist approach to sheaf cohomology, and then turns to the intersection cohomology complex, which is limited to the definition and calculation of the intersection complex Isubscript X of a variety of dimension d with one isolated singularity. Finally, this lecture discusses the Verdier duality. The second lecture sets out the Decomposition theorem, which is the deepest known fact concerning the homology of algebraic varieties. It then considers the

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18

(Editor), Michele Matzeu, and Alfonso Vignoli (Editor), eds. Topological Nonlinear Analysis: Degree, Singularity, and Variations (Progress in Nonlinear Differential Equations and Their Applications). Birkhauser, 1994.

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19

Singularities in geometry and topology: Strasbourg 2009. European Mathematical Society, 2012.

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