| Autor: |
Bettina Kreuzer, Martin Kreuzer |
| Jazyk: |
angličtina |
| Předmět: |
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| Zdroj: |
Journal of Pure and Applied Algebra. (2):159-177 |
| ISSN: |
0022-4049 |
| DOI: |
10.1016/S0022-4049(97)00164-3 |
| Popis: |
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. 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 R ) and the superabundance l ( R R ) — l ( R F ) of X . |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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