The Chow ring of punctual Hilbert schemes of toric surfaces

dc.creatorEvain, Laurent
dc.date2005-03-30
dc.date2005-12-15
dc.date.accessioned2026-07-07T06:39:41Z
dc.date.available2026-07-07T06:39:41Z
dc.descriptionLet X be a smooth projective toric surface, and H^d(X) the Hilbert scheme parametrising the length d zero-dimensional subschemes of X. We compute the rational Chow ring A^*(H^d(X))\_Q. More precisely, if T is the two-dimensional torus contained in X, we compute the rational equivariant Chow ring A\_T^*(H^d(X))\_Q and the usual Chow ring is an explicit quotient of the equivariant Chow ring. The case of some quasi-projective toric surfaces such as the affine plane are described by our method too.
dc.description27 pages, updated version, minor modifications
dc.identifierhttps://arxiv.org/abs/math/0503697
dc.identifierhttp://arxiv.org/abs/math/0503697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101166
dc.subjectAlgebraic Geometry
dc.subject14C05,14C15,14L30
dc.titleThe Chow ring of punctual Hilbert schemes of toric surfaces
dc.typetext

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