Cox rings /

Cox rings /

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Bibliographic Details
Author / Creator:	Arzhant︠s︡ev, I. V. (Ivan Vladimirovich), 1972- author.
Uniform title:	Kolʹt︠s︡a Koksa. English
Imprint:	New York, NY : Cambridge University Press, 2015.
Description:	viii, 530 pages ; 24 cm.
Language:	English
Series:	Cambridge studies in advanced mathematics ; 144 Cambridge studies in advanced mathematics ; 144.
Subject:	Algebraic varieties. Rings (Algebra) Algebraic varieties. Rings (Algebra)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/10112077

Hidden Bibliographic Details
ISBN:	9781107024625 (hardback) 1107024625 (hardback)
Notes:	Translated from the Russian. Includes bibliographical references and index.
Summary:	"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"--

Eckhart

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Holdings details from Eckhart
Call Number:	QA564.A7913 2015
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian