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arXiv · 1807.09839

Multiplicities of jumping points for mixed multiplier ideals

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 Poincar\'e 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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Maria Alberich-Carramiñana, Josep Àlvarez Montaner, Ferran Dachs-Cadefau, Víctor González-Alonso. 2018-07-25. Multiplicities of jumping points for mixed multiplier ideals. https://arxiv.org/abs/1807.09839

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