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.
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Walter, C., Personal communication.
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Work done with financial support of M.U.R.S.T., while the authors were members of C.N.R.
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Giuffrida, S., Maggioni, R. & Ragusa, A. Resolutions of generic points lying on a smooth quadric. Manuscripta Math 91, 421–444 (1996). https://doi.org/10.1007/BF02567964
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DOI: https://doi.org/10.1007/BF02567964