Téléchargez le livre : Singular Algebraic Curves

Singular Algebraic Curves

With an Appendix by Oleg Viro de

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Éditeur :

Springer


Paru le : 2018-12-30

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Description
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.
Pages
553 pages
Collection
n.c
Parution
2018-12-30
Marque
Springer
EAN papier
9783030033491
EAN PDF
9783030033507
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
8499 Ko
Prix
137,14 €
EAN EPUB
9783030033507
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
55
Taille du fichier
54477 Ko
Prix
137,14 €

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