Canonical Big Cohen-Macaulay algebras and rational singularities
Commutative Algebra
2007-05-23 v2 Algebraic Geometry
Abstract
We give a canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over by taking ultraproducts of absolute integral closures in positive characteristic. This yields a new tight closure characterization of rational singularities in characteristic zero.
Keywords
Cite
@article{arxiv.math/0206250,
title = {Canonical Big Cohen-Macaulay algebras and rational singularities},
author = {Hans Schoutens},
journal= {arXiv preprint arXiv:math/0206250},
year = {2007}
}
Comments
The second part of the previous version is taken out and is moved to the new paper math.AG/0303189