A note on the non-existence of small Cohen-Macaulay algebras
Commutative Algebra
2012-07-24 v1 Algebraic Geometry
Abstract
By finding a p-adic obstruction, we construct many examples of positive characteristic complete noetherian local rings which do not admit any module-finite Cohen-Macaulay extension. These examples should be contrasted with a result of Hochster-Huneke: the union of all finite extensions is always Cohen-Macaulay.
Keywords
Cite
@article{arxiv.1207.5413,
title = {A note on the non-existence of small Cohen-Macaulay algebras},
author = {Bhargav Bhatt},
journal= {arXiv preprint arXiv:1207.5413},
year = {2012}
}
Comments
4 pages, comments welcome