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Mathematics > Algebraic Geometry

arXiv:1807.09839 (math)
[Submitted on 25 Jul 2018]

Title:Multiplicities of jumping points for mixed multiplier ideals

Authors:Maria Alberich-Carramiñana, Josep Àlvarez Montaner, Ferran Dachs-Cadefau, Víctor González-Alonso
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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.
Comments: 21 pages
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.09839 [math.AG]
  (or arXiv:1807.09839v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.09839

Submission history

From: Ferran Dachs-Cadefau [view email]
[v1] Wed, 25 Jul 2018 20:27:42 UTC (78 KB)
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