Algebraic Surfaces and Holomorphic Vector Bundles (Paperback, Softcover reprint of the original 1st ed. 1998)

A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	March 2013
First published:	1998
Authors:	Robert Friedman
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	329
Edition:	Softcover reprint of the original 1st ed. 1998
ISBN-13:	978-1-4612-7246-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	1-4612-7246-7
Barcode:	9781461272465

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