Algebraic Surfaces and Holomorphic Vector Bundles

Name: Algebraic Surfaces and Holomorphic Vector Bundles
Brand: Springer, Berlin
SKU: 9781461272465
Price: 307.87 RON
Availability: InStock

Autor: Robert Friedman

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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A novel feature of the book is its integrated approach to algebraic surface theory and the study of...

Informații despre carte

Autor

Robert Friedman

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

329

EAN

9781461272465

ISBN

1461272467

Enbook ID

06795154

Editura

Springer, Berlin

Greutate

528

Dimensiuni

155 x 235 x 18

Descriere completă

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.

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Algebraic Surfaces and Holomorphic Vector Bundles

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