A survey on Cox rings

被引：0
|
作者：
Antonio Laface
Mauricio Velasco
机构：
[1] Universidad de Concepción,Departamento de Matemática
[2] University of California,Department of Mathematics
来源：
Geometriae Dedicata | 2009年 / 139卷
关键词：
Cox rings; Toric varieties; Mori theory; 14C20; 14E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.
引用
收藏
页码：269 / 287
页数：18
相关论文
共 50 条
  • [1] A survey on Cox rings
    Laface, Antonio
    Velasco, Mauricio
    GEOMETRIAE DEDICATA, 2009, 139 (01) : 269 - 287
  • [2] Factorially graded rings and Cox rings
    Bechtold, Benjamin
    JOURNAL OF ALGEBRA, 2012, 369 : 351 - 359
  • [3] Cox rings and combinatorics
    Berchtold, Florian
    Hausen, Jurgen
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (03) : 1205 - 1252
  • [4] On the factoriality of Cox rings
    I. V. Arzhantsev
    Mathematical Notes, 2009, 85 : 623 - 629
  • [5] On the factoriality of Cox rings
    Arzhantsev, I. V.
    MATHEMATICAL NOTES, 2009, 85 (5-6) : 623 - 629
  • [6] On iteration of Cox rings
    Hausen, Juergen
    Wrobel, Milena
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (09) : 2737 - 2745
  • [7] COMPUTING COX RINGS
    Hausen, Juergen
    Keicher, Simon
    Laface, Antonio
    MATHEMATICS OF COMPUTATION, 2015, 85 (297) : 467 - 502
  • [8] Polyhedral Divisors of Cox Rings
    Altmann, Klaus
    Wisniewski, Jaroslaw A.
    MICHIGAN MATHEMATICAL JOURNAL, 2011, 60 (02) : 463 - 480
  • [9] Cluster algebras are Cox rings
    Mandel, Travis
    MANUSCRIPTA MATHEMATICA, 2019, 160 (1-2) : 153 - 171
  • [10] Universal torsors and Cox rings
    Hassett, B
    Tschinkel, Y
    ARITHMETIC OF HIGHER-DIMENSIONAL ALGEBRAIC VARIETIES, 2004, 226 : 149 - 173
12345