Essential dimension of group schemes over a local scheme

被引：3
作者：
Tossici, Dajano [1 ]
机构：
[1] Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France
来源：
JOURNAL OF ALGEBRA | 2017年 / 492卷
关键词：
Group schemes; Torsors; Essential dimension;
D O I：
10.1016/j.jalgebra.2017.07.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we develop the theory of essential dimension of group schemes over an integral base. Shortly we concentrate over a local base. As a consequence of our theory we give a result of invariance of the essential dimension over a field. The case of group schemes over a discrete valuation ring is discussed. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1 / 27
页数：27
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