Singular Algebraic Curves : With an Appendix by Oleg Viro

Language: English

Published by Springer, 2019

303003349X / 9783030033491

Series: Book 158 of 187 - Springer Monographs in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.…

Seller Inventory # 9783030033491

Title
Singular Algebraic Curves : With an Appendix by Oleg Viro
Author
Eugenii Shustin
Publisher
Springer
Publication year
2019
Condition
Neu
Binding
Buch
Language
English
ISBN 10
303003349X
ISBN 13
9783030033491
Item weight
1,021 grams
Dimensions
241x160x37 mm
Series
Book 158 of 187: Springer Monographs in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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