The Dimension of the Hilbert Scheme of Special Threefolds # |
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| Authors: | Gian Mario Besana Maria Lucia Fania |
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| Institution: | 1. School of CTI , DePaul University , Chicago, Illinois, USA gbesana@cti.depaul.edu;3. Dipartimento di Matematica , Universitá degli Studi di L'Aquila , L'Aquila, Italy |
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| Abstract: | The Hilbert scheme of 3-folds in ? n , n ≥ 6 , that are scrolls over ? 2 or over a smooth quadric surface Q ? ? 3 or that are quadric or cubic fibrations over ? 1 is studied. All known such threefolds of degree 7 ≤ d ≤ 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed. |
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| Keywords: | Good determinantal subschemes Hilbert schemes Special threefolds |
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