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Manifolds, Sheaves, and Cohomology
Taschenbuch von Torsten Wedhorn
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany
Zusammenfassung

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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 372
Reihe: Springer Studium Mathematik - Master
Inhalt: xvi
354 S.
9 s/w Illustr.
354 p. 9 illus.
ISBN-13: 9783658106324
ISBN-10: 3658106328
Sprache: Englisch
Herstellernummer: 978-3-658-10632-4
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Wedhorn, Torsten
Auflage: 1st ed. 2016
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Springer Studium Mathematik - Master
Maße: 240 x 168 x 21 mm
Von/Mit: Torsten Wedhorn
Erscheinungsdatum: 03.08.2016
Gewicht: 0,623 kg
preigu-id: 104581291
Über den Autor
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany
Zusammenfassung

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.

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 372
Reihe: Springer Studium Mathematik - Master
Inhalt: xvi
354 S.
9 s/w Illustr.
354 p. 9 illus.
ISBN-13: 9783658106324
ISBN-10: 3658106328
Sprache: Englisch
Herstellernummer: 978-3-658-10632-4
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Wedhorn, Torsten
Auflage: 1st ed. 2016
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Springer Studium Mathematik - Master
Maße: 240 x 168 x 21 mm
Von/Mit: Torsten Wedhorn
Erscheinungsdatum: 03.08.2016
Gewicht: 0,623 kg
preigu-id: 104581291
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