Publication Date
1997
Journal or Book Title
COMPOSITIO MATHEMATICA
Abstract
We study residues on a complete toric variety X, which are defined in terms of the homogeneous coordinate ring of X.We first prove a global transformation law for toric residues. When the fan of the toric variety has a simplicial cone of maximal dimension, we can produce an element with toric residue equal to 1. We also show that in certain situations, the toric residue is an isomorphism on an appropriate graded piece of the quotient ring. When X is simplicial, we prove that the toric residue is a sum of local residues. In the case of equal degrees, we also show how to represent X as a quotient (Y\{0})/C* such that the toric residue becomes the local residue at 0 in Y.
Pages
35-76
Volume
108
Issue
1
Recommended Citation
Cattani, E; Cox, D; and Dickenstein, A, "Residues in toric varieties" (1997). COMPOSITIO MATHEMATICA. 244.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/244
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/l835n2758031513p/