# Tight Closure in Equal Characteristic

@inproceedings{Hochster2014TightCI, title={Tight Closure in Equal Characteristic}, author={Melvin Hochster}, year={2014} }

- Published 2014

We rst discuss joint work of Craig Huneke and the author, giving an overview of the status of tight closure theory both in characteristic p and in equal characteristic 0, including recently discovered interconnections with the existence of big Cohen-Macaulay algebras, especially their existence in a weakly functorial sense. For example, either tight closure or the functorial existence of big Cohen-Macaulay algebras can be used to prove that direct summands of regular rings are Cohen-Macaulay in… CONTINUE READING