Cox rings of cubic surfaces and Fano threefolds

被引：8

作者：

Derenthal, Ulrich ^{[2
]}

Hausen, Juergen ^{[3
]}

Heim, Armand ^{[3
]}

Keicher, Simon ^{[3
]}

Laface, Antonio ^{[1
,4
]}

机构：

[1] Univ Concepcion, Dept Matemat, Concepcion, Chile

[2] Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, D-30167 Hannover, Germany

[3] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

[4] Univ Concepcion, Dept Matemat, Concepcion, Chile

来源：

JOURNAL OF ALGEBRA | 2015年 / 436卷

关键词：

Cox rings; Cubic surfaces; Fano varieties; DEL PEZZO SURFACES; RATIONAL-POINTS; MANINS CONJECTURE; BOUNDED HEIGHT; UNIVERSAL TORSORS; NUMBER; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2015.04.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the Cox rings of the minimal resolutions of cubic surfaces with at most rational double points, of blow-ups of the projective plane at non-general configurations of six points and of three dimensional smooth Fano varieties of Picard numbers one and two. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：228 / 276

页数：49

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