Some cases of the Eisenbud-Green-Harris conjecture

dc.creatorCaviglia, Giulio
dc.creatorMaclagan, Diane
dc.date2006-11-16
dc.date.accessioned2026-07-07T07:33:00Z
dc.date.available2026-07-07T07:33:00Z
dc.descriptionThe Eisenbud-Green-Harris conjecture states that a homogeneous ideal in k[x_1,...,x_n] containing a homogeneous regular sequence f_1,...,f_n with deg(f_i)=a_i has the same Hilbert function as an ideal containing x_i^{a_i} for 1 \leq i \leq n. In this paper we prove the Eisenbud-Green-Harris conjecture when a_j> sum_{i=1}^{j-1} (a_i-1) for all j>1. This result was independently obtained by the two authors.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0611488
dc.identifierhttp://arxiv.org/abs/math/0611488
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119309
dc.subjectCommutative Algebra
dc.titleSome cases of the Eisenbud-Green-Harris conjecture
dc.typetext

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