Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 2307-2323 |
Seitenumfang | 17 |
Fachzeitschrift | Journal of Pure and Applied Algebra |
Jahrgang | 220 |
Ausgabenummer | 6 |
Frühes Online-Datum | 30 Nov. 2015 |
Publikationsstatus | Veröffentlicht - Juni 2016 |
Abstract
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in: Journal of Pure and Applied Algebra, Jahrgang 220, Nr. 6, 06.2016, S. 2307-2323.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On Segre's bound for fat points in Pn
AU - Ballico, Edoardo
AU - Dumitrescu, Olivia
AU - Postinghel, Elisa
N1 - Funding information: The first author was partially supported by MIUR and GNSAGA of INdAM (Italy). The second author is a member of “Simion Stoilow” Institute of Mathematics of the Romanian Academy. The third author is supported by the Research Foundation - Flanders ( FWO ).
PY - 2016/6
Y1 - 2016/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84957548869&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1504.05151
DO - 10.48550/arXiv.1504.05151
M3 - Article
AN - SCOPUS:84957548869
VL - 220
SP - 2307
EP - 2323
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 6
ER -