Algebraic Surfaces and Holomorphic Vector Bundles:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on courses given at Columbia University on vector bundles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donaldson invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first because topological methods have largely superseded algebro-geometric methods in computing Donaldson invariants, and more importantly because of the new invariants defined by Seiberg and Witten, which have greatly simplified the theory and led to proofs of the basic conjectures concerning the 4-manifold topology of algebraic surfaces. However, the study of algebraic surfaces and the moduli spaces of bundles on them remains a fundamental problem in algebraic geometry, and I hope that this book will make this subject more accessible. Moreover, the recent applications of SeibergWitten theory to symplectic 4-manifolds suggest that there is room for yet another treatment of the classification of algebraic surfaces. In particular, despite the number of excellent books concerning algebraic surfaces, I hope that the half of this book devoted to them will serve as an introduction to the subject |
| Beschreibung: | 1 Online-Ressource (IX, 329 p) |
| ISBN: | 9781461216889 9781461272465 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4612-1688-9 |
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| doi_str_mv | 10.1007/978-1-4612-1688-9 |
| format | Electronic eBook |
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| id | DE-604.BV042419886 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461216889 9781461272465 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855303 |
| oclc_num | 869863680 |
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| physical | 1 Online-Ressource (IX, 329 p) |
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| publishDate | 1998 |
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| publisher | Springer New York |
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| spelling | Friedman, Robert Verfasser aut Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman New York, NY Springer New York 1998 1 Online-Ressource (IX, 329 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 This book is based on courses given at Columbia University on vector bundles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donaldson invariants. The goal of these lectures was to acquaint researchers in 4-manifold topology with the classification of algebraic surfaces and with methods for describing moduli spaces of holomorphic bundles on algebraic surfaces with a view toward computing Donaldson invariants. Since that time, the focus of 4-manifold topology has shifted dramatically, at first because topological methods have largely superseded algebro-geometric methods in computing Donaldson invariants, and more importantly because of the new invariants defined by Seiberg and Witten, which have greatly simplified the theory and led to proofs of the basic conjectures concerning the 4-manifold topology of algebraic surfaces. However, the study of algebraic surfaces and the moduli spaces of bundles on them remains a fundamental problem in algebraic geometry, and I hope that this book will make this subject more accessible. Moreover, the recent applications of SeibergWitten theory to symplectic 4-manifolds suggest that there is room for yet another treatment of the classification of algebraic surfaces. In particular, despite the number of excellent books concerning algebraic surfaces, I hope that the half of this book devoted to them will serve as an introduction to the subject Mathematics Geometry, algebraic Algebraic Geometry Mathematik Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Algebraische Fläche (DE-588)4195660-6 gnd rswk-swf Vektorraumbündel (DE-588)4187470-5 s Algebraische Fläche (DE-588)4195660-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-1688-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Friedman, Robert Algebraic Surfaces and Holomorphic Vector Bundles Mathematics Geometry, algebraic Algebraic Geometry Mathematik Vektorraumbündel (DE-588)4187470-5 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
| subject_GND | (DE-588)4187470-5 (DE-588)4195660-6 |
| title | Algebraic Surfaces and Holomorphic Vector Bundles |
| title_auth | Algebraic Surfaces and Holomorphic Vector Bundles |
| title_exact_search | Algebraic Surfaces and Holomorphic Vector Bundles |
| title_full | Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman |
| title_fullStr | Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman |
| title_full_unstemmed | Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman |
| title_short | Algebraic Surfaces and Holomorphic Vector Bundles |
| title_sort | algebraic surfaces and holomorphic vector bundles |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Vektorraumbündel (DE-588)4187470-5 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Vektorraumbündel Algebraische Fläche |
| url | https://doi.org/10.1007/978-1-4612-1688-9 |
| work_keys_str_mv | AT friedmanrobert algebraicsurfacesandholomorphicvectorbundles |