# Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

Share this page
*Tarmo Järvilehto*

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

# Table of Contents

## Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

- List of Figures vii8 free
- Chapter 1. Introduction 110 free
- Chapter 2. Preliminaries on Complete Ideals 514 free
- Chapter 3. Arithmetic of the Point Basis 1322
- Chapter 4. The Dual Graph 1928
- Chapter 5. Multiplier Ideals and Jumping Numbers 2534
- Chapter 6. Main Theorem 2938
- Chapter 7. Proof of Main Theorem 3544
- Chapter 8. Jumping Numbers of a Simple Ideal 5968
- Chapter 9. Jumping Numbers of an Analytically Irreducible Plane Curve 6978
- Bibliography 7786