The intuitive definition of Du Bois singularities

被引:0
作者
Kovacs, Sandor J. [1 ]
机构
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源
GEOMETRY AND ARITHMETIC | 2012年
基金
美国国家科学基金会;
关键词
Du Bois singularities; VANISHING THEOREMS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is proved that for projective varieties having Du Bois singularities is equivalent to the condition that the coherent cohomology groups of the structure sheaf coincide with the appropriate Hodge components of the singular cohomology groups.
引用
收藏
页码:257 / 266
页数:10
相关论文
共 14 条
[1]   POLYHEDRAL RESOLUTIONS OF ALGEBRAIC-VARIETIES [J].
CARLSON, JA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 292 (02) :595-612
[2]  
DELIGNE P., 1974, THEORIE HODGE, P5
[3]  
Deligne P, 1971, I HAUTES ETUDES SCI, VII, P5
[4]  
DUBOIS P, 1974, CR ACAD SCI A MATH, V279, P745
[5]  
DUBOIS P, 1981, B SOC MATH FR, V109, P41
[6]  
GUILLEN F., 1988, LECT NOTES MATH, V1335
[7]  
KOLLAR J, 1987, P SYMP PURE MATH, V46, P233
[8]  
KOLLAR J., 2012, SINGULARITI IN PRESS
[9]   LOG CANONICAL SINGULARITIES ARE DU BOIS [J].
Kollar, Janos ;
Kovacs, Sandor. J. .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 23 (03) :791-813
[10]  
Kovacs S. J., 2011, ADV STUDIES IN PRESS