Segre bound.pdf (389.44 kB)
0/0

On Segre's bound for fat points in Pn

Download (389.44 kB)
journal contribution
posted on 07.11.2016 by Edoardo Ballico, Olivia Dumitrescu, Elisa Postinghel
For 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 Algebra

Volume

220

Issue

6

Pages

2307 - 2323

Citation

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

© Elsevier

Version

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

2015-11-30

Notes

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

0022-4049

Language

en

Exports

Logo branding

Keyword(s)

Exports