| 期刊全稱 | Algebraic Surfaces and Holomorphic Vector Bundles | | 影響因子2023 | Robert Friedman | | 視頻video | http://file.papertrans.cn/153/152709/152709.mp4 | | 發(fā)行地址 | One of the books primary assets is its method of presentation which makes the subject rather accessible.The only prerequisite is a good working knowledge of elementary algebraic geometry.Unified intro | | 學(xué)科分類 | Universitext | | 圖書(shū)封面 |  | | 影響因子 | This book is based on courses given at Columbia University on vector bun- dles (1988) and on the theory of algebraic surfaces (1992), as well as lectures in the Park City lIAS Mathematics Institute on 4-manifolds and Donald- son 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time, the focus of 4-manifold topology has shifted dramatically, at first be- cause topological methods have largely superseded algebro-geometric meth- ods in computing Donaldson invariants, and more importantly because of and Witten, which have greatly sim- the new invariants defined by Seiberg plified 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 ofbundles on them remains a fundamen- tal problem in algebraic geometry, and I hope that this book will make this subject more accessible. Moreover, the recent applications of Seiberg- Witten theory to | | Pindex | Textbook 1998 |
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