Hilbert scheme strata defined by bounding cohomology

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Let Hilb^p be the Hilbert scheme parametrizing the closed subschemes of P^n with Hilbert polynomial p\in Q[t] over a field K of characteristic zero. By bounding below the cohomological Hilbert functions of the points of Hilb^p we define locally closed subspaces of the Hilbert scheme. The aim of this paper is to show that some of these subspaces are connected. For this we exploit the edge ideals constructed by D. Mall. It turns out that these ideals are sequentially Cohen-Macaulay and that their initial ideals with respect to the reverse lexicographic term order are generic initial ideals.
21 pages. Short version of my Ph.D. thesis (math.AC/0509123)

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Commutative Algebra, Algebraic Geometry, 14C05; 14B15; 13P10

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http://salesiana.dossiersoluciones.com/handle/123456789/76272

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509126
 http://arxiv.org/abs/math/0509126

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arXiv