Toric Varieties in Hilbert Schemes

dc.creatorRussell, Heather
dc.date2000-11-26
dc.date.accessioned2026-07-07T04:38:50Z
dc.date.available2026-07-07T04:38:50Z
dc.descriptionFor an arbitrary field K, let I be an ideal in the ring K[[x,y]] expressible as a polynomial in either the pair of ideals (x, y^4) and (x,y) or the pair (x,y^3) and (x^2, y). Let G be the group of automorphisms of K[[x,y]] sending the ideal (x,y^2) to itself. Then the normalization of the closure of the G orbit of I is a toric variety. We use the interplay of the properties of Hilbert schemes and toric varieties to study these spaces.
dc.identifierhttps://arxiv.org/abs/math/0011217
dc.identifierhttp://arxiv.org/abs/math/0011217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60437
dc.subjectAlgebraic Geometry
dc.subject14C05; 14M25
dc.titleToric Varieties in Hilbert Schemes
dc.typetext

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