On Segre's bound for fat points in Pn

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Edoardo Ballico
  • Olivia Dumitrescu
  • Elisa Postinghel

Organisationseinheiten

Externe Organisationen

  • Università degli Studi di Trento
  • KU Leuven
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)2307-2323
Seitenumfang17
FachzeitschriftJournal of Pure and Applied Algebra
Jahrgang220
Ausgabenummer6
Frühes Online-Datum30 Nov. 2015
PublikationsstatusVeröffentlicht - Juni 2016

Abstract

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.

Zitieren

On Segre's bound for fat points in Pn. / Ballico, Edoardo; Dumitrescu, Olivia; Postinghel, Elisa.
in: Journal of Pure and Applied Algebra, Jahrgang 220, Nr. 6, 06.2016, S. 2307-2323.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ballico E, Dumitrescu O, Postinghel E. On Segre's bound for fat points in Pn. Journal of Pure and Applied Algebra. 2016 Jun;220(6):2307-2323. Epub 2015 Nov 30. doi: 10.48550/arXiv.1504.05151, 10.1016/j.jpaa.2015.11.008
Ballico, Edoardo ; Dumitrescu, Olivia ; Postinghel, Elisa. / On Segre's bound for fat points in Pn. in: Journal of Pure and Applied Algebra. 2016 ; Jahrgang 220, Nr. 6. S. 2307-2323.
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