Authors
Citation
A. Campillo et P. Gimenez, Syzygies of affine toric varieties, J ALGEBRA, 225(1), 2000, pp. 142-161
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693
→ ACNP
Volume
225
Issue
1
Year of publication
2000
Pages
142 - 161
Database
ISI
SICI code
0021-8693(20000301)225:1<142:SOATV>2.0.ZU;2-E
Abstract
We give a method for computing the syzygies of the coordinate ring R of an
affine toric variety. We show how the method works for dimension one and tw
o cases, Cohen-Macaulay semigroups, and for computing minimal generators of
the defining ideal. We show how to compute the depth of R and generalize a
criterion for Cohen-Macaulayness. (C) 2000 Academic Press.