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Jumping numbers of a simple complete ideal in a two-dimensional regular local ring /

"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 kin...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Järvilehto, Tarmo, 1965-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2011.
Colección:Memoirs of the American Mathematical Society ; no. 1009.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Järvilehto, Tarmo,  |d 1965-  |1 https://id.oclc.org/worldcat/entity/E39PCjCpBpHX99dV7bQ3d4JvBK 
245 1 0 |a Jumping numbers of a simple complete ideal in a two-dimensional regular local ring /  |c Tarmo Järvilehto. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c ©2011. 
300 |a 1 online resource (vii, 78 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 1009 
500 |a "November 2011, volume 214, number 1009 (end of volume)." 
504 |a Includes bibliographical references (pages 77-78). 
588 0 |a Print version record. 
520 3 |a "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." 
505 0 0 |t Chapter 1. Introduction  |t Chapter 2. Preliminaries on complete ideals  |t Chapter 3. Arithmetic of the point basis  |t Chapter 4. The dual graph  |t Chapter 5. Multiplier ideals and jumping numbers  |t Chapter 6. Main theorem  |t Chapter 7. Proof of main theorem  |t Chapter 8. Jumping numbers of a simple ideal  |t Chapter 9. Jumping numbers of an analytically irreducible plane curve. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Ideals (Algebra) 
650 0 |a Multipliers (Mathematical analysis) 
650 0 |a Curves, Plane. 
650 0 |a Singularities (Mathematics) 
650 6 |a Idéaux (Algèbre) 
650 6 |a Multiplicateurs (Analyse mathématique) 
650 6 |a Courbes planes. 
650 6 |a Singularités (Mathématiques) 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Curves, Plane  |2 fast 
650 7 |a Ideals (Algebra)  |2 fast 
650 7 |a Multipliers (Mathematical analysis)  |2 fast 
650 7 |a Singularities (Mathematics)  |2 fast 
650 7 |a Ideal  |g Mathematik  |2 gnd 
650 7 |a Multiplikator  |2 gnd 
650 7 |a Singularität  |g Mathematik  |2 gnd 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1009. 
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