Manifolds, Sheaves, and Cohomology (häftad)
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
354
Utgivningsdatum
2016-08-03
Upplaga
1st ed. 2016
Förlag
Springer Spektrum
Illustratör/Fotograf
Bibliographie
Illustrationer
9 Illustrations, black and white; XVI, 354 p. 9 illus.
Dimensioner
244 x 170 x 20 mm
Vikt
590 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783658106324

Manifolds, Sheaves, and Cohomology

Häftad,  Engelska, 2016-08-03
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This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.
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Kundrecensioner

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Fler böcker av Torsten Wedhorn

  • Algebraic Geometry I: Schemes

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  • Algebraic Geometry II: Cohomology of Schemes

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    This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and tale morphisms in...

Recensioner i media

This book is to introduce powerful techniques used in modern Algebraic and Differential Geometry, fundamentally focusing on the relation between local and global properties of geometric objects and on the obstructions to passing from the former to the latter. The readership for this book will mostly consist of beginner to intermediate graduate students, and it may serve as the basis for a one-semester course on the cohomology of sheaves and its relation to real and complex manifolds. (Rui Miguel Saramago, zbMATH 1361.55001, 2017)

Övrig information

Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universitt Darmstadt, Germany

Innehållsförteckning

Topological Preliminaries.- Algebraic Topological Preliminaries.- Sheaves.- Manifolds.- Local Theory of Manifolds.- Lie Groups.- Torsors and Non-abelian Cech Cohomology.- Bundles.- Soft Sheaves.- Cohomology of Complexes of Sheaves.- Cohomology of Sheaves of Locally Constant Functions.- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.