On the notion of canonical dimension for algebraic groups

被引：25

作者：

Berhuy, G ^{[1
]}

Reichstein, Z ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

ADVANCES IN MATHEMATICS | 2005年 / 198卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

algebraic group; G-variety; generic splitting field; essential dimension; canonical dimension; homogeneous forms;

D O I：

10.1016/j.aim.2004.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define and study a numerical invariant of an algebraic group action which we call the canonical dimension. We then apply the resulting theory to the problem of computing the minimal number of parameters required to define a generic hypersurface of degree d in Pn-1. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：128 / 171

页数：44

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