Hellus, M. and Huebl, R. (2016) A RESULT ON MACAULAY'S CURVE. COMMUNICATIONS IN ALGEBRA, 44 (2). pp. 479-485. ISSN 0092-7872, 1532-4125
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It is not known whether Macaulay's curve C-4 subset of IPk3 is a set-theoretic complete intersection or not in characteristic zero. There are known (weak) indications that the answer is negative; clearly, a negative such answer would provide the first example of an irreducible non-set-theoretic complete intersection curve, i.e., of a curve in affine or projective n-space that cannot be cut out by n - 1 polynomial equations. We prove new necessary conditions for two (assumed) homogeneous polynomials cutting out C4 set-theoretically. We use local cohomology and an idea from Thoma.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMPLETE-INTERSECTIONS; MONOMIAL CURVES; Complete intersections; Local cohomology; Macaulay's curve |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Michael Hellus |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2019 12:36 |
| Last Modified: | 07 Mar 2019 08:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2194 |
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