m at h . A G ] 1 2 Ja n 20 01 Resolutions of Fat Point Ideals involving 8 General Points of P

نویسندگان

  • Stephanie Fitchett
  • Brian Harbourne
  • Sandeep Holay
چکیده

The main result, Theorem 1, provides an algorithm for determining the minimal free resolution of fat point subschemes of P involving up to 8 general points of arbitrary multiplicities; the resolutions obtained hold for any algebraically closed field, independent of the characteristic. The algorithm works by giving a formula in nice cases, and a reduction to the nice cases otherwise. The algorithm, which does not involve Gröbner bases, is very fast. Partial information is also obtained in certain cases with n > 8.

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تاریخ انتشار 2001