Groebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
We introduce the notion of monomial group action and study some of its consequences for Groebner basis theory. As an application we prove a conjecture of V. Batyrev and O. Popov describing the Cox rings of Del Pezzo surfaces (of degree at least 3) as quotients of a polynomial ring by an ideal generated by quadrics.
Keywords
Cite
@article{arxiv.math/0610261,
title = {Groebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces},
author = {Mike Stillman and Damiano Testa and Mauricio Velasco},
journal= {arXiv preprint arXiv:math/0610261},
year = {2007}
}
Comments
29 pages, 3 figures