Poincare series of a toric variety

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dc.creatorLemahieu, Ann
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:29:06Z
dc.date.available2026-07-07T07:29:06Z
dc.descriptionFor an affine toric variety X we compute the Poincare series of the multi-index filtration defined by a finite number of monomial divisorial valuations on the ring O_{X,0}. We give an alternative description of the Poincare series as an integral with respect to the Euler characteristic over the projectivization of the space of germs O_{X,0}. In particular we study divisorial valuations on the ring O_{C^d,0} that arise by considering toric constellations. We give an explicit formula for the Poincare series and a nice geometric description. This generalizes an expression of the Poincare series for curves and rational surface singularities.
dc.identifierhttps://arxiv.org/abs/math/0610473
dc.identifierhttp://arxiv.org/abs/math/0610473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117975
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14B05
dc.titlePoincare series of a toric variety
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