Details:
Title  Gröbner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces  Author(s)  Michael Stillman, Domiano Testa, Mauricio Velasco  Type  Article in Journal  Abstract  We introduce the notion of monomial group action and study some of its consequences for Gröbner 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 ⩾3) as quotients of a polynomial ring by an ideal generated by quadrics.  Keywords  Cox rings, Del Pezzo surfaces, Grobner bases  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869307003365 
Language  English  Journal  Journal of Algebra  Volume  316  Number  2  Pages  777  801  Year  2007  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
