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Resolutions of Fat Point Ideals Involving Eight General Points of P2
The main result, Theorem 1, provides an algorithm for determining the minimal free resolution of fat point subschemes of P2 involving up to eight general points of arbitrary multiplicities. The resolutions obtained hold for any algebraically closed field, independent of the characteristic. The algor...
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Published in: | Journal of algebra 2001-10, Vol.244 (2), p.684-705 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | The main result, Theorem 1, provides an algorithm for determining the minimal free resolution of fat point subschemes of P2 involving up to eight 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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ISSN: | 0021-8693 1090-266X |
DOI: | 10.1006/jabr.2001.8931 |