Groebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces

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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.
29 pages, 3 figures

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Commutative Algebra, Algebraic Geometry, 13P10; 14J26

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http://salesiana.dossiersoluciones.com/handle/123456789/117882

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610261
 http://arxiv.org/abs/math/0610261

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arXiv