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Download fileOn Segre's bound for fat points in Pn
journal contribution
posted on 2016-11-07, 10:53 authored by Edoardo Ballico, Olivia Dumitrescu, Elisa PostinghelFor a scheme of fat points Z defined by the saturated ideal IZ, the regularity index computes the Castelnuovo-Mumford regularity of the Cohen-Macaulay ring R/IZ. For points in "general position" we improve the bound for the regularity index computed by Segre for P2 and generalised by Catalisano, Trung and Valla for Pn. Moreover, we prove that the generalised Segre's bound conjectured by Fatabbi and Lorenzini holds for n + 3 arbitrary points in Pn. We propose a modification of Segre's conjecture for arbitrary points and we discuss some evidences.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Pure and Applied AlgebraVolume
220Issue
6Pages
2307 - 2323Citation
BALLICO, E., DUMITRESCO, O. and POSTINGHEL, E., 2016. On Segre's bound for fat points in Pn. Journal of Pure and Applied Algebra, 220(6), pp. 2307-2323.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2015-11-30Notes
This paper was accepted for publication in the journal Journal of Pure and Applied Algebra and the definitive published version is available at http://dx.doi.org/10.1016/j.jpaa.2015.11.008.ISSN
0022-4049Publisher version
Language
- en