Nantilus
Manifolds, Sheaves, and Cohomology
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 loca...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Manifolds, Sheaves, and Cohomology / by Torsten Wedhorn. |
| Publié : |
Wiesbaden :
Springer
, C 2016 |
| Description matérielle : | 1 Vol. (XVI-354 p.) |
| Collection : | Springer Studium Mathematik - Master (Print) |
| Sujets : | |
| Documents associés : | Autre format:
Manifolds, Sheaves, and Cohomology |
| Résumé : | 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. Content 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 Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany |
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| Bibliographie : | Bibliogr. p. 341-342. Index |
| ISBN : | 978-3-658-10632-4 |