Download PDF by Robert Friedman: Algebraic Surfaces and Holomorphic Vector Bundles

By Robert Friedman

a singular characteristic of the ebook is its built-in method of algebraic floor concept and the examine of vector package concept on either curves and surfaces. whereas the 2 matters stay separate during the first few chapters, they develop into even more tightly interconnected because the publication progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the evidence of Bogomolov's inequality for reliable bundles, that's itself utilized to review canonical embeddings of surfaces through Reider's process. 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 ebook 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. aimed toward graduates with a radical first-year path in algebraic geometry, in addition to extra complicated scholars and researchers within the components of algebraic geometry, gauge concept, or 4-manifold topology, the various 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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