Algebraic Surfaces and Holomorphic Vector Bundles - download pdf or read online

By Robert Friedman

a unique function of the booklet is its built-in method of algebraic floor concept and the research of vector package thought 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 e-book progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the evidence of Bogomolov's inequality for strong bundles, that is itself utilized to review canonical embeddings of surfaces through Reider's technique. equally, governed and elliptic surfaces are mentioned intimately, sooner than the geometry of vector bundles over such surfaces is analysed. a number of the effects on vector bundles look 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 a radical first-year direction in algebraic geometry, in addition to extra complicated scholars and researchers within the components 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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