A theorem about maximal Cohen-Macaulay modules
Commutative Algebra
2020-06-04 v2 Algebraic Geometry
Abstract
It is shown in a local strongly -regular ring there exits natural number so that if is any finitely generated maximal Cohen-Macaulay module then the pushforward of under the th iterate of the Frobenius endomorphism contains a free summand. Consequently, the torsion subgroup of the divisor class group of a local strongly -regular ring is finite.
Cite
@article{arxiv.2002.04661,
title = {A theorem about maximal Cohen-Macaulay modules},
author = {Thomas Polstra},
journal= {arXiv preprint arXiv:2002.04661},
year = {2020}
}
Comments
Minor edits have been made to improve readability of the paper