Componentwise linearity of projective varieties with almost maximal degree
Commutative Algebra
2021-01-19 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1905.04826,
title = {Componentwise linearity of projective varieties with almost maximal degree},
author = {Doan Trung Cuong and Sijong Kwak},
journal= {arXiv preprint arXiv:1905.04826},
year = {2021}
}
Comments
to appear in the Journal of Pure and Applied Algebra