Details:
Title  Hilbert scheme strata defined by bounding cohomology  Author(s)  Stefan Fumasoli  Type  Article in Journal  Abstract  Let Hilb p be the Hilbert scheme parametrizing the closed subschemes of P K n with Hilbert polynomial p ∈ 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 in [D. Mall, Connectedness of Hilbert function strata and other connectedness results, J. Pure Appl. Algebra 150 (2000) 175–205]. 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.  Keywords  Hilbert scheme, Local cohomology, Mall ideals, Sequentially CohenMacaulayness  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869307002566 
Language  English  Journal  Journal of Algebra  Volume  315  Number  2  Pages  566  587  Year  2007  Edition  0  Translation 
No  Refereed 
No 
