Invariant theoretical characterization of toric locally complete intersection singularities

被引：0
|
作者：
Nakajima, Haruhisa [1 ]
机构：
[1] Josai Univ, Fac Sci, Dept Math, Sakado, Saitama 3500295, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2006年 / 82卷 / 09期
关键词：
cofree representations; algebraic tori; character groups; toric singularities; complete intersections; monomial hypersufaces;
D O I：
10.3792/pjaa.82.161
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the previous paper [N3], we introduced a cofree embedding of a finite dimensional rational representation of a diagonalizable algebraic group over an algebraically closed field of characteristic zero. Using this, we show inductive characterization of toric locally complete intersection singularities in terms of group representation theory. Consequently we obtain a, classification of affine monomial normal hypersurfaces.
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页码：161 / 166
页数：6
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