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

By Robert Friedman

a unique function of the e-book is its built-in method of algebraic floor conception and the examine of vector package deal idea on either curves and surfaces. whereas the 2 matters stay separate throughout the first few chapters, they develop into even more tightly interconnected because the ebook progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the facts of Bogomolov's inequality for good bundles, that's itself utilized to check canonical embeddings of surfaces through Reider's procedure. equally, governed and elliptic surfaces are mentioned intimately, prior to the geometry of vector bundles over such surfaces is analysed. the various effects on vector bundles seem for the 1st time in booklet shape, subsidized via many examples, either one of surfaces and vector bundles, and over a hundred workouts forming a vital part of the textual content. aimed toward graduates with an intensive first-year direction in algebraic geometry, in addition to extra complex scholars and researchers within the components of algebraic geometry, gauge conception, or 4-manifold topology, a number of the effects on vector bundles may 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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