Segre's bound and the case of n+2 fat points of P n

First we prove that the locus of all sets of fat points with assigned multiplicities whose regularity index is bounded by the so called Segre's bound is open and strictly contains the non-empty open set given by the locus of the same number of fat points with the same multiplicities and support in general position. Then we prove that the the general Segre's bound holds for any set of n+2 fat points of P^n.

Titolo: Segre's bound and the case of n+2 fat points of P n
Autori: 
BENEDETTI, BEATRICE
FATABBI, Giuliana
LORENZINI, Anna
Data di pubblicazione: 2012
Rivista: 
COMMUNICATIONS IN ALGEBRA  
Abstract: First we prove that the locus of all sets of fat points with assigned multiplicities whose regula...rity index is bounded by the so called Segre's bound is open and strictly contains the non-empty open set given by the locus of the same number of fat points with the same multiplicities and support in general position.
Then we prove that the the general Segre's bound holds for any set of n+2 fat points of P^n.
Handle: http://hdl.handle.net/11391/39234
Appare nelle tipologie:1.1 Articolo in rivista

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