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Free shipping on orders over 19,990 Ft via Packeta, Fox Post Box, and DPD Collection Point

Cox Rings

Name: Cox Rings
Brand: Cambridge University Press
SKU: 04767255
Price: 27206 HUF
Availability: InStock
Author: Ivan Arzhantsev
ISBN: 9781107024625

Language

English

Book Hardback

Libristo code: 04767255

Publishers Cambridge University Press, August 2014

Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneo... Full description

Libristo code: 04767255

187 b

27 206 Ft

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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.