Monodromy conjecture for semi-quasihomogeneous hypersurfaces
Algebraic Geometry
2023-09-26 v3
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.
Keywords
Cite
@article{arxiv.2106.11015,
title = {Monodromy conjecture for semi-quasihomogeneous hypersurfaces},
author = {Guillem Blanco and Nero Budur and Robin van der Veer},
journal= {arXiv preprint arXiv:2106.11015},
year = {2023}
}
Comments
A mistake in Section 3 was pointed out by M. Saito. An erratum is added as the last page. The results in the Introduction are not affected