On negativity of higher Euler characteristics

被引：5

作者：

Dutta, SP ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2004年 / 126卷 / 06期

关键词：

D O I：

10.1353/ajm.2004.0043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Positivity of higher Euler characteristics on equicharacteristic and unramified regular local rings follow from the works of Serre, Lichtenbaum, and Hochster. Here we prove that such higher Euler characteristics could be negative on complete intersections even for a pair of intersecting modules, both having finite projective dimension, satisfying Serre-vanishing.

引用

页码：1341 / 1354

页数：14

共 18 条

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[2]

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[3]

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