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Cox rings /

Arzhant︠s︡ev, I. V. (1972-)

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Cox rings /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Cox rings // Ivan Arzhantsev, Ulrich Derenthal, Jurgen Hausen, Antonio Laface.
other author:	Arzhant︠s︡ev, I. V.
Published:	New York, NY :Cambridge University Press, : 2015.,
Description:	viii, 530 p. :ill. ;24 cm.
Subject:	Algebraic varieties. -
ISBN:	9781107024625

Cox rings /
Cox rings /Ivan Arzhantsev, Ulrich Derenthal, Jurgen Hausen, Antonio Laface. - New York, NY :Cambridge University Press,2015. - viii, 530 p. :ill. ;24 cm. - Cambridge studies in advanced mathematics ;144.

Includes bibliographical references (p. 501-515) and index.

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"--

ISBN: 9781107024625US80.00

LCCN: 2014005540Subjects--Topical Terms:

555734
Algebraic varieties.

LC Class. No.: QA564 / .A7913 2015

Dewey Class. No.: 516.3/53

Cox rings /
LDR:01817cam a2200253 a 4500 001 1991267
003 DLC
005 20150202114657.0
008 150930s2015 nyua b 001 0 eng
010 $a 2014005540
020 $a 9781107024625 $q (hbk.) : $c US80.00
020 $a 1107024625 $q (hbk.)
020 $a 9781139175852 $q (ebk.)
020 $a 1139175858 $q (ebk.)
040 $a DLC $b eng
041 1 # $a eng $h rus
050 0 0 $a QA564 $b .A7913 2015
082 0 0 $a 516.3/53 $2 23
240 1 0 $a Kolʹt︠s︡a Koksa. $l English
245 1 0 $a Cox rings / $c Ivan Arzhantsev, Ulrich Derenthal, Jurgen Hausen, Antonio Laface.
260 # $a New York, NY : $b Cambridge University Press, $c 2015.
300 $a viii, 530 p. : $b ill. ; $c 24 cm.
490 1 0 $a Cambridge studies in advanced mathematics ; $v 144
504 $a Includes bibliographical references (p. 501-515) and index.
520 # $a 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"-- $c Provided by publisher.
650 # 0 $a Algebraic varieties. $3 555734
650 # 0 $a Rings (Algebra) $3 540500
700 1 # $a Arzhant︠s︡ev, I. V. $q (Ivan Vladimirovich), $d 1972- $3 2144358