Multiplicities of jumping points for mixed multiplier ideals

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  • Universitat Politècnica de Catalunya
  • Martin Luther University Halle-Wittenberg
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Original languageEnglish
Pages (from-to)325-348
Number of pages24
JournalRevista Matematica Complutense
Volume33
Issue number1
Early online date6 Jun 2019
Publication statusPublished - Jan 2020

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.

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Multiplicities of jumping points for mixed multiplier ideals. / Alberich-Carramiñana, Maria; Àlvarez Montaner, Josep; Dachs-Cadefau, Ferran et al.
In: Revista Matematica Complutense, Vol. 33, No. 1, 01.2020, p. 325-348.

Research output: Contribution to journalArticleResearchpeer review

Alberich-Carramiñana M, Àlvarez Montaner J, Dachs-Cadefau F, González-Alonso V. Multiplicities of jumping points for mixed multiplier ideals. Revista Matematica Complutense. 2020 Jan;33(1):325-348. Epub 2019 Jun 6. doi: 10.48550/arXiv.1807.09839, 10.1007/s13163-019-00309-y
Alberich-Carramiñana, Maria ; Àlvarez Montaner, Josep ; Dachs-Cadefau, Ferran et al. / Multiplicities of jumping points for mixed multiplier ideals. In: Revista Matematica Complutense. 2020 ; Vol. 33, No. 1. pp. 325-348.
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