Algebraic Surfaces and Holomorphic Vector Bundles

Name: Algebraic Surfaces and Holomorphic Vector Bundles
Brand: Springer-Verlag New York Inc.
SKU: 9780387983615
Price: 82.37 EUR
Availability: InStock

Автор: Robert Friedman

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад

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82.37 € 161.10 лв

This book covers the theory of algebraic surfaces and holomorphic vector bundles in an integrated ma...

Информация за книгата

Автор

Robert Friedman

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1998

страници

329

EAN

9780387983615

ISBN

0387983619

Enbook ID

05248158

Издател

Springer-Verlag New York Inc.

Теглоt

1450

Размери

155 x 235 x 23

Пълно описание

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 Hartshorne's 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 ofthe 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 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, 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.

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Algebraic Surfaces and Holomorphic Vector Bundles

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Пълно описание

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