An etale analog of the Goresky-Macpherson formula for subspace arrangements

被引:14
作者
Yan, Z [1 ]
机构
[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA
关键词
D O I
10.1016/S0022-4049(98)00128-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main goal of this paper is to establish a Goresky-MacPherson formula for subspace arrangements in characteristic p. A special form of the formula is applied to provide a lower bound on the arithmetical rank of monomial ideals. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:305 / 318
页数:14
相关论文
共 11 条
[1]  
Bott R., 1982, Differential Forms in Algebraic Topology, P154, DOI [10.1007/978-1-4757-3951-0_4, DOI 10.1007/978-1-4757-3951-0_4]
[2]   R-SEQUENCES AND INDETERMINATES [J].
EAGON, JA ;
HOCHSTER, M .
QUARTERLY JOURNAL OF MATHEMATICS, 1974, 25 (97) :61-71
[3]  
GORESKY M, 1988, STRATIFIED MORSE THE
[4]   ON THE COMPLEMENTS OF AFFINE SUBSPACE ARRANGEMENTS [J].
JEWELL, K ;
ORLIK, P ;
SHAPIRO, BZ .
TOPOLOGY AND ITS APPLICATIONS, 1994, 56 (03) :215-233
[5]  
LYUBEZNIK G, 1984, LECT NOTES MATH, V1092, P214
[6]  
Milne J. S., 1980, PRINCETON MATH SERIE
[7]  
MUNKERS, 1984, ELEMENTS ALGEBRAIC T
[8]  
NEWSTEAD PE, 1980, B LOND MATH SOC, V12, P176
[9]   HOMOTOPY PROPERTIES OF POSET OF NONTRIVIAL PARA-SUBGROUPS OF A GROUP [J].
QUILLEN, D .
ADVANCES IN MATHEMATICS, 1978, 28 (02) :101-128
[10]   COHEN-MACAULAY QUOTIENTS OF POLYNOMIAL RINGS [J].
REISNER, GA .
ADVANCES IN MATHEMATICS, 1976, 21 (01) :30-49