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Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman PDF

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By Robert Friedman

ISBN-10: 1461272467

ISBN-13: 9781461272465

a unique function of the publication is its built-in method of algebraic floor thought and the research of vector package concept on either curves and surfaces. whereas the 2 topics stay separate in the course of the first few chapters, they develop into even more tightly interconnected because the publication progresses. therefore vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the facts of Bogomolov's inequality for solid bundles, that is itself utilized to review canonical embeddings of surfaces through Reider's approach. equally, governed and elliptic surfaces are mentioned intimately, earlier than the geometry of vector bundles over such surfaces is analysed. some of the effects on vector bundles seem for the 1st time in e-book shape, subsidized through many examples, either one of surfaces and vector bundles, and over a hundred routines forming an essential component of the textual content. geared toward graduates with an intensive first-year path in algebraic geometry, in addition to extra complicated scholars and researchers within the parts of algebraic geometry, gauge conception, or 4-manifold topology, a few of the effects on vector bundles can also be of curiosity to physicists learning string theory.

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Algebraic Surfaces and Holomorphic Vector Bundles (Universitext) by Robert Friedman


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