Download e-book for kindle: Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman

By Robert Friedman

a unique characteristic 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 during the first few chapters, they develop into even more tightly interconnected because the booklet progresses. hence vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the facts of Bogomolov's inequality for strong bundles, that's itself utilized to check canonical embeddings of surfaces through Reider's procedure. equally, governed and elliptic surfaces are mentioned intimately, ahead of the geometry of vector bundles over such surfaces is analysed. the various effects on vector bundles look for the 1st time in ebook shape, sponsored through many examples, either one of surfaces and vector bundles, and over a hundred routines forming a vital part of the textual content. geared toward graduates with a radical first-year direction in algebraic geometry, in addition to extra complex scholars and researchers within the components of algebraic geometry, gauge idea, or 4-manifold topology, the various effects on vector bundles can also be of curiosity to physicists learning string theory.

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