Multiplicities of jumping points for mixed multiplier ideals
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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.
CitationAlberich, M. [et al.]. Multiplicities of jumping points for mixed multiplier ideals. "Revista Matematica Complutense", 1 Gener 2019, p. 1-24.