Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman

By Robert Friedman

a unique function of the publication is its built-in method of algebraic floor concept and the research of vector package deal idea on either curves and surfaces. whereas the 2 topics stay separate during the first few chapters, they turn into even more tightly interconnected because the e-book progresses. therefore 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 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. a few of the effects on vector bundles seem for the 1st time in ebook shape, sponsored by way of many examples, either one of surfaces and vector bundles, and over a hundred routines forming an essential component of the textual content. geared 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 concept, or 4-manifold topology, the various effects on vector bundles can also be of curiosity to physicists learning string theory.

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