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Monodromy zeta function formula for embedded \(\mathbf{Q}\)-resolutions. (English) Zbl 1276.32023

Summary: In previous work we have introduced the notion of an embedded \(\mathbf{Q}\)-resolution, which essentially consists in allowing the final ambient space to contain abelian quotient singularities. Here we give a generalization to this setting of N. A’Campo’s formula for the monodromy zeta function of a singularity. Some examples of its application are shown.

MSC:

32S45 Modifications; resolution of singularities (complex-analytic aspects)
32S25 Complex surface and hypersurface singularities
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
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