Tight Closure in Equal Characteristic Zero

The main objective of this monograph is to lay the foundations of
tight closure theory for Noetherian rings containing a field of
characteristic 0. It has been more than ten years since the authors
first began work on tight closure. In that time they have published
many articles on the topic. This remarkably potent method has led to a
number of generalizations of old theorems, improved proofs, and a host
of beautiful new results. This monograph will serve as a marvelous
introduction to tight closure for both researchers and graduate
students in commutative algebra.