| Description |
1 online resource (vii, 78 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; number 1009 |
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Memoirs of the American Mathematical Society ; no. 1009.
|
| Contents |
Chapter 1. Introduction Chapter 2. Preliminaries on complete ideals Chapter 3. Arithmetic of the point basis Chapter 4. The dual graph Chapter 5. Multiplier ideals and jumping numbers Chapter 6. Main theorem Chapter 7. Proof of main theorem Chapter 8. Jumping numbers of a simple ideal Chapter 9. Jumping numbers of an analytically irreducible plane curve |
| Summary |
"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 we shall give an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, we obtain a formula for the jumping numbers of an analytically irreducible plane curve. We then show that the jumping numbers determine the equisingularity class of the curve." |
| Notes |
"November 2011, volume 214, number 1009 (end of volume)." |
| Bibliography |
Includes bibliographical references (pages 77-78) |
| Notes |
English |
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Print version record |
| Subject |
Ideals (Algebra)
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Multipliers (Mathematical analysis)
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Curves, Plane.
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Singularities (Mathematics)
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MATHEMATICS -- Algebra -- Intermediate.
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Curves, Plane
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Ideals (Algebra)
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Multipliers (Mathematical analysis)
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Singularities (Mathematics)
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Ideal Mathematik
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Multiplikator
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Singularität Mathematik
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| Form |
Electronic book
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| ISBN |
9781470406264 |
|
1470406268 |
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