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

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dc.creatorStillman, Mike
dc.creatorTesta, Damiano
dc.creatorVelasco, Mauricio
dc.date2006-10-08
dc.date.accessioned2026-07-07T07:28:50Z
dc.date.available2026-07-07T07:28:50Z
dc.descriptionWe 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.
dc.description29 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0610261
dc.identifierhttp://arxiv.org/abs/math/0610261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117882
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13P10; 14J26
dc.titleGroebner bases, monomial group actions, and the Cox rings of Del Pezzo surfaces
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