Tight Closure and Its Applications (eBook)

Craig L Huneke (Autor)

eBook Download: PDF

1996
137 Seiten
American Mathematical Society (Verlag)
978-1-4704-2448-0 (ISBN)

Infos

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. 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. Numerous exercises with solutions.

Produkt-Details

• Erscheint lt. Verlag: 3.7.1996
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2448-7 / 1470424487
• ISBN-13: 978-1-4704-2448-0 / 9781470424480