Local cohomology modules supported at determinantal ideals

被引：18
|
作者：
Lyubeznik, Gennady [1 ]
Singh, Anurag K. [2 ]
Walther, Uli [3 ]
机构：
[1] Univ Minnesota, Dept Math, 127 Vincent Hall,206 Church St, Minneapolis, MN 55455 USA
[2] Univ Utah, Dept Math, 155 South 1400 East, Salt Lake City, UT 84112 USA
[3] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 11期
基金：
美国国家科学基金会;
关键词：
Determinantal ideals; local cohomology; vanishing theorems; D-modules; F-modules; THEORETIC COMPLETE-INTERSECTIONS; RATIONAL NORMAL SCROLLS; COHEN-MACAULAY RINGS; FINITENESS PROPERTIES; F-MODULES; CHARACTERISTIC P-GREATER-THAN-0; ALGEBRAIC-VARIETIES; TORSION ELEMENTS; CHARACTERISTIC-P; MAXIMAL MINORS;
D O I：
10.4171/JEMS/648
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide new results on the vanishing of local cohomology modules supported at ideals of minors of matrices over arbitrary commutative Noetherian rings. In the process, we compute the local cohomology of rings of polynomials with integer coefficients-supported at generic determinantal ideals-and also obtain results on F -modules and D -modules that are likely to be of independent interest.
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页码：2545 / 2578
页数：34
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