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Poles of maximal order of Igusa zeta functions

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  • UserJohannes Nicaise, University of Leuven
  • ClockWednesday 04 March 2015, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Mark Gross.

I will present a proof of a conjecture of Wim Veys, saying that minus the log canonical threshold of a hypersurface singularity is the only possible pole of maximal order of the Igusa zeta function of the singularity. The proof uses recent results from the MMP but has a natural interpretation in terms of non-archimedean geometry (weight functions on Berkovich spaces). This is joint work with Chenyang Xu.

This talk is part of the Algebraic Geometry Seminar series.

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