Monodromy conjecture for semi-quasihomogeneous hypersurfaces

2021/06/21 by Blanco, Guillem, Budur, Nero, van der Veer, Robin · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.11015

Abstract

We give a proof 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.

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• On the Poles of Real Archimedean Zeta Functions

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