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Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman PDF

By Robert Friedman

a singular characteristic of the booklet is its built-in method of algebraic floor thought and the research of vector package deal idea on either curves and surfaces. whereas the 2 matters stay separate in the course of the first few chapters, they turn 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 evidence of Bogomolov's inequality for reliable bundles, that's itself utilized to review canonical embeddings of surfaces through Reider's strategy. 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 look for the 1st time in e-book shape, subsidized by means of many examples, either one of surfaces and vector bundles, and over a hundred workouts 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 parts of algebraic geometry, gauge idea, or 4-manifold topology, a few 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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