Name: algebraic surfaces and holomorphic vector bundles
Price: 89.99 GBP
Availability: InStock
Author: friedman
ISBN: 9780387983615

portada algebraic surfaces and holomorphic vector bundles

Type

Physical Book

Publisher

springer publishing map

Author

friedman

Language

English

Pages

328

ISBN

0387983619

ISBN13

9780387983615

Synopsis "algebraic surfaces and holomorphic vector bundles"

this book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated manner. it is aimed at graduate students who have had a thorough first year course in algebraic geometry (at the level of hartshornes algebraic geometry), as well as more advanced graduate students and researchers in the areas of algebraic geometry, gauge thoery, or 4-manifold topolgogy. many of the results on vector bundles should also be of interest to physicists studying string theory. 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, and are studied in alternate 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 bogomolovs inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via reiders method. similarly, ruled and elliptic surfaces are discussed in detail, and then the geometry of vector bundles over such surfaces is analyzed. many of the results on vector bundles appear for the first time in book form, suitable for graduate students. the book also has a strong emphasis on examples, both of surfaces and vector bundles. there are over 100 exercises which form an integral part of the text.