Publication

Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities

Journal Article (2018)

Journal

Mathematische Nachrichten

Pages

245-263

Volume

291

Number

2

Doc link

http://dx.doi.org/10.1002/mana.201600392

File

Download the digital copy of the doc pdf document

Authors

Abstract

The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given by the regions where the mixed multiplier ideals are constant. In particular we reveal which information encoded in a mixed multiplier ideal determines its corresponding jumping wall and we provide an algorithm to compute all the constancy regions, and their corresponding mixed multiplier ideals, in any desired range.

Categories

pattern recognition.

Author keywords

Jumping walls, Mixed mutiplier ideals, Rational singularities

Scientific reference

M. Alberich-Carramiñana, J. Àlvarez and F. Dachs. Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities. Mathematische Nachrichten, 291(2): 245-263, 2018.