A Briançon–Skoda Theorem for Isolated Singularities

✍ Scribed by Eero Hyry; Orlando Villamayor U

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 179 KB
• Volume: 204
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1997.7386

✦ Synopsis

Let A be a normal Cohen᎐Macaulay local ring which is a homomorphic image of a Gorenstein local ring. Supposing that A is pseudo-rational in the punctured spectrum, and that there exists a proper birational morphism X ª Spec A such that X is pseudo-rational, we show how one can find an integer k ) 0 such that nq k n I ;I for all ideals I ; A and integers n G 0.