Multiplicities of jumping points for mixed multiplier ideals

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OriginalspracheEnglisch
Seiten (von - bis)325-348
Seitenumfang24
FachzeitschriftRevista Matematica Complutense
Jahrgang33
Ausgabenummer1
Frühes Online-Datum6 Juni 2019
PublikationsstatusVeröffentlicht - 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, Jahrgang 33, Nr. 1, 01.2020, S. 325-348.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-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 ; Jahrgang 33, Nr. 1. S. 325-348.
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