Kreuzer, Bettina and Kreuzer, Martin (1998) Extremal zero-dimensional subschemes of P-2. JOURNAL OF PURE AND APPLIED ALGEBRA, 131 (2). pp. 159-177. ISSN 0022-4049
Full text not available from this repository.Abstract
Given a zero-dimensional subscheme X of P-2, we bound the number of points in the support of X which have maximal degree in X. For reduced schemes X, this yields a lower bound for the colength of the conductor F of the homogeneous coordinate ring R of X in its integral closure (R) over bar. This bound is attained by Castelnuovo sets for which we calculate l(R/F) explicitly. Using the canonical decomposition of X, we also show a sharp upper bound for l(R/F). Applications include estimates for the singularity degree l((R) over bar/R) and the superabundance l((R) over bar/R)-l(R/F) of X. (C) 1998 Elsevier Science B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPACE |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Feb 2023 11:57 |
| Last Modified: | 10 Feb 2023 11:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/49441 |
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