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Titlebook: Algebraic Surfaces and Holomorphic Vector Bundles; Robert Friedman Textbook 1998 Springer Science+Business Media New York 1998 Blowing up.

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发表于 2025-3-21 19:29:42 | 显示全部楼层 |阅读模式
期刊全称Algebraic Surfaces and Holomorphic Vector Bundles
影响因子2023Robert Friedman
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发行地址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
学科分类Universitext
图书封面Titlebook: Algebraic Surfaces and Holomorphic Vector Bundles;  Robert Friedman Textbook 1998 Springer Science+Business Media New York 1998 Blowing up.
影响因子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time, the focus of 4-manifold topology has shifted dramatically, at first be­ cause topological methods have largely superseded algebro-geometric meth­ ods in computing Donaldson invariants, and more importantly because of and Witten, which have greatly sim­ the new invariants defined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
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发表于 2025-3-21 23:20:31 | 显示全部楼层
Introduction,ationship with the period map. Another deep result which seems to be inaccessible to the classical methods is the Bogomolov-Miyaoka-Yau inequality . ≤ 3.. Moreover, the new methods could be extended to the study of compact complex surfaces (Kodaira) or algebraic surfaces in positive characteristic (
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发表于 2025-3-22 05:18:48 | 显示全部楼层
Vector Bundles over Ruled Surfaces,want to study. We will further study bundles on the surface . by studying their restrictions to the fibers of the fibration. This method of studying bundles on a surface by looking at their restrictions to curves on the surface is one which has been successfully applied in a wide variety of contexts
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发表于 2025-3-22 16:49:21 | 显示全部楼层
Charalampos Tsakmakis,Adrian Willuweitationship with the period map. Another deep result which seems to be inaccessible to the classical methods is the Bogomolov-Miyaoka-Yau inequality . ≤ 3.. Moreover, the new methods could be extended to the study of compact complex surfaces (Kodaira) or algebraic surfaces in positive characteristic (
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发表于 2025-3-23 00:43:08 | 显示全部楼层
Dislocations and Brittle Fracture in Metalswant to study. We will further study bundles on the surface . by studying their restrictions to the fibers of the fibration. This method of studying bundles on a surface by looking at their restrictions to curves on the surface is one which has been successfully applied in a wide variety of contexts
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