Publication: Hilbert scheme strata defined by bounding cohomology
Hilbert scheme strata defined by bounding cohomology
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Fumasoli, S. (2007). Hilbert scheme strata defined by bounding cohomology. Journal of Algebra, 315(2), 566–587. https://doi.org/10.1016/j.jalgebra.2007.04.016
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Let Hilbp be the Hilbert scheme parametrizing the closed subschemes of with Hilbert polynomial over a field K of characteristic zero. By bounding below the cohomological Hilbert functions of the points of Hilbp 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
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- Fumasoli, S
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Fumasoli, S. (2007). Hilbert scheme strata defined by bounding cohomology. Journal of Algebra, 315(2), 566–587. https://doi.org/10.1016/j.jalgebra.2007.04.016
