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On the reducibility of the postulation Hilbert scheme |
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| Authors: | Alfio Ragusa Giuseppe Zappalá |
| Affiliation: | (1) Dip. di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy;(2) Dip. di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy |
| Abstract: | We give a condition in terms of the possible graded Betti numbers compatible with a given Hilbert functionH of 0-dimensional subschemes of ℙ n which implies the reducibility of the postulation Hilbert scheme and of its subscheme which parametrizes reduced subschemes with Hilbert functionH. |
| Keywords: | 1991 Mathematics subject classification 13 D 40 13 H 10 |
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