Componentwise linearity of projective varieties with almost maximal degree

Autor:	Cuong, Doan Trung, Kwak, Sijong
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13D02 14N05
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2021.106672
Popis:	The degree of a projective subscheme has an upper bound in term of the codimension and the reduction number. If a projective variety has an almost maximal degree, that is, the degree equals to the upper bound minus one, then its Betti table has been described explicitly. We build on this work by showing that for most of such varieties, the defining ideals are componentwise linear and in particular the componentwise linearity is suitable for classifying the Betti tables of such varieties. As an application, we compute the Betti table of all varieties with almost maximal degree and componentwise linear resolution. Comment: to appear in the Journal of Pure and Applied Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.04826 Zobrazit plný text záznamu View this record from Arxiv