Maximal Cohen-Macaulay modules over certain Segre products
Commutative Algebra
2018-03-09 v2
Abstract
We prove some results on the non-existence of rank one maximal Cohen-Macaulay modules over certain Segre product rings. As an application we show that over these Segre product rings there do not exist maximal Cohen-Macaulay modules with multiplicity less than or equal to the parameter degree of the ring, which disproves a conjecture of Schoutens.
Keywords
Cite
@article{arxiv.1802.04786,
title = {Maximal Cohen-Macaulay modules over certain Segre products},
author = {Linquan Ma},
journal= {arXiv preprint arXiv:1802.04786},
year = {2018}
}
Comments
6 pages, final version