Publication

Multiplicities of jumping points for mixed multiplier ideals

Journal Article (2020)

Journal

Revista Matematica Complutense

Pages

325-348

Volume

33

Number

1

Doc link

https://link.springer.com/article/10.1007/s13163-019-00309-y

File

Download the digital copy of the doc pdf document

Authors

Abstract

In this paper we make a systematic study of the multiplicity of the jumping points associated to the mixed multiplier ideals of a family of ideals in a complex surface with rational singularities. In particular we study the behaviour of the multiplicity by small perturbations of the jumping points. We also introduce a Poincaré series for mixed multiplier ideals and prove its rationality. Finally, we study the set of divisors that contribute to the log-canonical wall.

Categories

pattern recognition.

Author keywords

singularity, jumping point, multiplier ideal

Scientific reference

M. Alberich-Carramiñana, J. Àlvarez, F. Dachs and V. González. Multiplicities of jumping points for mixed multiplier ideals. Revista Matematica Complutense, 33(1): 325-348, 2020.