Resolutions of generic points lying on a smooth quadric |
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Authors: | S Giuffrida R Maggioni A Ragusa |
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Institution: | (1) Dipartimento di Matematica, Viale A. Doria, 6, 95125 Catania, (Italy) |
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Abstract: | For a 0-dimensional schemeX on a smooth quadricQ we define a special type of resolution of its ideal sheaf as a locally freeO
Q. These resolutions allow to find, for schemes which are generic inQ, the minimal free resolution ofX as a subscheme of ℙ3. For almost all such schemes the graded Betti numbers in ℙ3 depend only on the Hilbert function ofX in ℙ3.
Work done with financial support of M.U.R.S.T., while the authors were members of C.N.R. |
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Keywords: | 14C20 14C25 13D02 13D40 |
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