A global view of residues in the torus

Authors

E Cattani, University of Massachusetts - AmherstFollow
A Dickenstein

Publication Date

1997

Journal or Book Title

JOURNAL OF PURE AND APPLIED ALGEBRA

Abstract

We study the total sum of Grothendieck residues of a Laurent polynomial relative to a family f₁,…,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 in a 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.

Comments

The published version is located at

Pages

119-144

Volume

117

Recommended Citation

Cattani, E and Dickenstein, A, "A global view of residues in the torus" (1997). JOURNAL OF PURE AND APPLIED ALGEBRA. 245.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/245