Rationality for generic toric rings

Citation
V. Gasharov et al., Rationality for generic toric rings, MATH Z, 233(1), 2000, pp. 93-102
Citations number
10
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
233
Issue
1
Year of publication
2000
Pages
93 - 102
Database
ISI
SICI code
0025-5874(200001)233:1<93:RFGTR>2.0.ZU;2-8
Abstract
We study generic toric rings, We prove that they are Golod rings, so the Po incare series of the residue field is rational. We classify when such a rin g is Koszul, and compute its rate. Also resolutions related to the initial ideal of the toric ideal with respect to reverse lexicographic order are de scribed.