Publication
Multiplier ideals in two-dimensional local rings with rational singularities
Journal Article (2016)
Journal
Michigan Mathematical Journal
Pages
287-320
Volume
65
Number
2
Doc link
http://dx.doi.org/10.1307/mmj/1465329014
File
Authors
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Alberich Carramiñana, Maria
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Dachs Cadefau, Ferran
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Àlvarez Montaner, Josep
Abstract
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.
Categories
pattern recognition.
Author keywords
Multiplier ideals, jumping numbers, rational surface singularity
Scientific reference
M. Alberich-Carramiñana, F. Dachs and J. Àlvarez. Multiplier ideals in two-dimensional local rings with rational singularities. Michigan Mathematical Journal, 65(2): 287-320, 2016.
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