By Robert Friedman
A unique characteristic of the publication is its built-in method of algebraic floor conception and the examine 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 booklet progresses. therefore vector bundles over curves are studied to appreciate governed surfaces, after which reappear within the evidence of Bogomolov's inequality for sturdy bundles, that is itself utilized to review canonical embeddings of surfaces through Reider's process. 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 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 an intensive first-year path in algebraic geometry, in addition to extra complex scholars and researchers within the components 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 thought.
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