Monodromy conjecture for semi‐quasihomogeneous hypersurfaces

Guillem Blanco, Nero Budur and Robin van der Veer

Mathematische Nachrichten, 2023, vol. 296, issue 4, 1394-1403

Abstract: We give a proof of the monodromy conjecture relating the poles of motivic zeta functions with roots of b‐functions for isolated quasihomogeneous hypersurfaces, and more generally for semi‐quasihomogeneous hypersurfaces. We also give a strange generalization allowing a twist by certain differential forms.

Date: 2023
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https://doi.org/10.1002/mana.202100376

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