Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman

Geometry Topology

By Robert Friedman

a unique function of the ebook is its built-in method of algebraic floor concept and the examine of vector package deal thought 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 ebook progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the facts of Bogomolov's inequality for reliable bundles, that's itself utilized to check canonical embeddings of surfaces through Reider's technique. equally, governed and elliptic surfaces are mentioned intimately, ahead of the geometry of vector bundles over such surfaces is analysed. a number of the effects on vector bundles look 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. 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 concept, or 4-manifold topology, some of the effects on vector bundles may also be of curiosity to physicists learning string theory.

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