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Título: | Multiplier ideals in two-dimensional local rings with rational singularities |
Autor: | Alberich-Carramiñana, Maria CSIC ORCID ; Álvarez Montaner, Josep; Dachs Cadefau, Ferran | Fecha de publicación: | 2016 | Editor: | University of Michigan | Citación: | Michigan Mathematical Journal 65(2): 287-320 (2016) | Resumen: | The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-dimensional local ring with a rational singularity. In particular we reveal which information encoded in a multiplier ideal determines the next jumping number. This leads to an algorithm to compute sequentially the jumping numbers and the whole chain of multiplier ideals in any desired range. As a consequence of our method we develop the notion of jumping divisor that allows to describe the jump between two consecutive multiplier ideals. In particular we find a unique minimal jumping divisor that is studied extensively. | Descripción: | arXiv:1412.3605v2 | Versión del editor: | https://doi.org/10.1307/mmj/1465329014 | URI: | http://hdl.handle.net/10261/166361 | DOI: | 10.1307/mmj/1465329014 | Identificadores: | doi: 10.1307/mmj/1465329014 issn: 0026-2285 |
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