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:
Ideals (Algebra)
Multipliers (Mathematical analysis)
Curves, Plane.
Singularities (Mathematics)
Idéaux (Algèbre)
Multiplicateurs (Analyse mathématique)
Courbes planes.
Singularités (Mathématiques)
MATHEMATICS > Algebra > Intermediate.
Curves, Plane
Ideal > Mathematik
Multiplikator
Singularität > Mathematik
Acceso en línea:Texto completo
Descripción
Sumario:"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."
Notas:"November 2011, volume 214, number 1009 (end of volume)."
Descripción Física:1 online resource (vii, 78 pages)
Bibliografía:Includes bibliographical references (pages 77-78).
ISBN:9781470406264
1470406268
ISSN:0065-9266 ;

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