The Euler class group of a polynomial algebra with coefficients in a line bundle

被引：8

作者：

Das, Mrinal Kanti ^{[1
]}

Zinna, Md. Ali ^{[1
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, Kolkata 700108, India

来源：

MATHEMATISCHE ZEITSCHRIFT | 2014年 / 276卷 / 3-4期

关键词：

Projective modules; Local complete intersections; Euler class groups; PROJECTIVE-MODULES; CANCELLATION THEOREMS; EFFICIENT GENERATION; UNIMODULAR ELEMENTS; AFFINE DOMAIN; QUESTION; EXTENSIONS; CURVES; CYCLES; NORI;

D O I：

10.1007/s00209-013-1221-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a commutative Noetherian ring and be a projective -module of rank . An intriguing open question is to find the precise obstruction for to split as: for some -module . In this paper we settle this question when for some ring containing the field of rationals and is a projective -module of rank .

引用

页码：757 / 783

页数：27

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