Multigraded Hilbert Schemes

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dc.creatorHaiman, Mark
dc.creatorSturmfels, Bernd
dc.date2002-01-28
dc.date.accessioned2026-07-07T04:46:09Z
dc.date.available2026-07-07T04:46:09Z
dc.descriptionWe introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hilbert function in a polynomial ring that is graded by any abelian group. Our construction is widely applicable, it provides explicit equations, and it allows us to prove a range of new results, including Bayer's conjecture on equations defining Grothendieck's classical Hilbert scheme and the construction of a Chow morphism for toric Hilbert schemes.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0201271
dc.identifierhttp://arxiv.org/abs/math/0201271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63220
dc.subjectAlgebraic Geometry
dc.subject14C05
dc.titleMultigraded Hilbert Schemes
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