| || || || || || || |
Memoirs of the American Mathematical Society
2011; 78 pp; softcover
List Price: US$70
Individual Members: US$42
Institutional Members: US$56
Order Code: MEMO/214/1009
The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal.
In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.
Table of Contents
AMS Home |
© Copyright 2014, American Mathematical Society