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 thought and the research of vector package deal concept on either curves and surfaces. whereas the 2 matters stay separate throughout the first few chapters, they turn into even more tightly interconnected because the booklet progresses. therefore vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the facts of Bogomolov's inequality for good bundles, that's itself utilized to check canonical embeddings of surfaces through Reider's approach. equally, governed and elliptic surfaces are mentioned intimately, sooner than the geometry of vector bundles over such surfaces is analysed. the various effects on vector bundles seem for the 1st time in e-book shape, sponsored by means of 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 an intensive first-year path 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 be of curiosity to physicists learning string theory.

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