Essential dimension and the second serre conjecture for exceptional groups

被引：0
作者：
V. É. Kordonskii
机构：
[1] Moscow Center of Continous Mathematical Education,
来源：
Mathematical Notes | 2000年 / 68卷
关键词：
Serre conjectures; locally free action; rational action; essential dimension; exceptional Lie group; Lie group of type; complex algebraic variety;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the essential dimension of exceptional connected simply connected algebraic groups over algebraically closed fields. In the present paper, we find upper estimates for the essential dimensions of the groupsF4,E6, andE7. For the groupF4, the upper estimate, thus obtained coincides with the known lower estimate. We also prove the second Serre conjecture for the groupE6 and for a function field.
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页码：464 / 470
页数：6
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