A Step in Castelnuovo theory via Grobner bases

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dc.creatorPetrakiev, Ivan
dc.date2006-04-24
dc.date.accessioned2026-07-07T07:11:13Z
dc.date.available2026-07-07T07:11:13Z
dc.descriptionWe establish the first previously unknown case of the Eisenbud-Harris conjecture in Castelnuovo theory concerning algebraic curves of high genus in ${\bf P}^n$. The problem is reduced to a question about zero-dimensional schemes $Γ\subset {\bf P}^{n-1}$ in symmetric position with certain constrains on the Hilbert function. The method of Gröbner bases is then applied to study the homogeneous ideal of $Γ$.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0604517
dc.identifierhttp://arxiv.org/abs/math/0604517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111674
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14N05, 14H50
dc.titleA Step in Castelnuovo theory via Grobner bases
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