Algebraic Surfaces and Holomorphic Vector Bundles
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Algebraic Surfaces and Holomorphic Vector Bundles by Robert Friedman
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.
Robert Friedman was a reporter, columnist and city editor for the San Juan Star in Puerto Rico for more than 20 years, and was the newspaper's Washington correspondent until it folded in 2009. While in Puerto Rico, he was also a special correspondent for the New York Daily News. Friedman is the author of four published novels about Puerto Rico-The Surrounding Sea, Under a Dark Sun, Shadow of the Fathers and Caribbean Dreams. In his fiction, he has explored the colorful and often struggling lives of island residents who try to cope, both personally and politically, with the highly ambivalent relationship between the U.S. and Puerto Rico. Born and bred in the Bronx, New York, he now lives in Silver Spring, Md.
| SKU | Unavailable |
| ISBN 13 | 9781461272465 |
| ISBN 10 | 1461272467 |
| Title | Algebraic Surfaces and Holomorphic Vector Bundles |
| Author | Robert Friedman |
| Series | Universitext |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2012-10-08 |
| Number of pages | 329 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |