Polyhedral divisors and algebraic torus actions

被引：106

作者：

Altmann, K

Hausen, J

机构：

[1] Free Univ Berlin, Fachbereich Math & Informat, D-14195 Berlin, Germany

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

来源：

MATHEMATISCHE ANNALEN | 2006年 / 334卷 / 03期

关键词：

14L24; 14L30; 14M25; 13A50;

D O I：

10.1007/s00208-005-0705-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a complete description of normal affine varieties with effective algebraic torus action in terms of what we call proper polyhedral divisors on semiprojective varieties. Our approach extends classical cone constructions of Dolgachev, Demazure and Pinkham to the multigraded case, and it comprises the theory of affine toric varieties.

引用

页码：557 / 607

页数：51