Poincar\'e series of multiplier ideals in two-dimensional local rings with rational singularities

We study the multiplicity of the jumping numbers of an $\mathfrak m$-primary ideal $\mathfrak a$ in a two-dimensional local ring with a rational singularity. The formula we provide for the multiplicities leads to a very simple and efficient method to detect whether a given rational number is a jumpi...

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Bibliographische Detailangaben

Hauptverfasser:	Alberich-Carramiñana, Maria, Montaner, Josep Alvarez, Dachs-Cadefau, Ferran, González-Alonso, Víctor
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Commutative Algebra
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