A global view of residues in the torus

被引：23

作者：

Cattani, E ^{[1
]}

Dickenstein, A ^{[1
]}

机构：

[1] UNIV BUENOS AIRES,FAC CIENCIAS EXACTAS & NAT,DEPT MATEMAT,RA-1428 BUENOS AIRES,DF,ARGENTINA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1997年 / 117卷

基金：

美国国家科学基金会;

关键词：

COMPLETE-INTERSECTIONS; MEMBERSHIP PROBLEM; TRACES;

D O I：

10.1016/S0022-4049(97)00008-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the total sum of Grothendieck residues of a Laurent polynomial relative to a family f(1), ..., f(n) of sparse Laurent polynomials in n variables with a finite set of common zeroes in the torus T = (C*)(n). Under appropriate assumptions we may embed T ina toric variety X in such a way that the total residue may be computed by a global object in X, the toric residue. This yields a description of some of its properties and new symbolic algorithms for its computation. (C) 1997 Elsevier Science B.V.

引用

页码：119 / 144

页数：26

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