Tight Closure and Its Applications - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 082180412X ISBN 13 : 9780821804124

Editeur : American Mathematical Society, 1996

Synopsis

This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995. Tight closure is a method to study rings of equicharacteristic by using reduction to positive characteristic. In this book, the basic properties of tight closure are covered, including various types of singularities, e.g. F-regular and F-rational singularities. Basic theorems in the theory are presented including versions of the Briancon-Skoda theorem, various homological conjectures, and the Hochster-Roberts/Boutot theorems on invariants of reductive groups. Several applications of the theory are given. These include the existence of big Cohen-Macaulay algebras and various uniform Artin-Rees theorems.It features: the existence of test elements; a study of F-rational rings and rational singularities; basic information concerning the Hilbert-Kunz function, phantom homology, and regular base change for tight closure; and, numerous exercises with solutions.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1996
• Langue: anglais
• ISBN 10: 082180412X
• ISBN 13: 9780821804124
• Reliure: Broché
• Nombre de pages: 137
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible