Tight Closure and Its Applications (Cbms Regional Conference Series in Mathematics) - Softcover

Huneke, Craig

Softcover

ISBN 10: 082180412X ISBN 13: 9780821804124

Verlag: American Mathematical Society, 1996

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 082180412X
• ISBN 13: 9780821804124
• Einband: Taschenbuch
• Anzahl der Seiten: 137
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar