The module of Valabrega-Valla of the Jacobian ideal of points in projective plane

Autor:	Nejad, Abbas Nasrollah, Shahidi, Zahra
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13A30 13C12 14H20
Druh dokumentu:	Working Paper
Popis:	The module of Valabrega-Valla of the Jacobian ideal of a reduced projective variety $V$ is the torsion of the Aluffi algebra. One considers the problem of its vanishing in the case of where $V$ is a reduced set of points in the projective plane. It is shown that the module is nonzero for several cases of a special configuration class therein -- called $(s-r)$-{fold collinear configuration}. A complete classification of types is given for $5$ and $6$ points in regard to this problem. Comment: 19 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.00626 Zobrazit plný text záznamu View this record from Arxiv