Cox Rings: 144 (Cambridge Studies in Advanced Mathematics, Series Number 144) - Image 1

£32.65

Cambridge University Press Cox Rings: 144 (Cambridge Studies in Advanced Mathematics, Series Number 144)

Name: Cox Rings: 144 (Cambridge Studies in Advanced Mathematics, Series Number 144)
Brand: Cambridge University Press
Price: 25.0 GBP
Availability: InStock

20695

Algebra

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Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry. The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty.

Product Specifications

Brand: Cambridge University Press
Model: 20695
Format: hardcover
ASIN: 1107024625
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 August 2014
Listed Since: 16 January 2014

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Cambridge University Press Cox Rings: 144 (Cambridge Studies in Advanced Mathematics, Series Number 144)

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