The Motivic Picard--Lefschetz Formula
arXiv:2510.12762
Abstract
We prove a motivic enhancement of the classical Picard--Lefschetz formula. Our proof is completely motivic, and yields a description of the motivic nearby cycles at a quasi-homogeneous singularity, as well as its monodromy, in terms of an embedding of projective hypersurfaces.
v1: Preliminary version. 30pp. Comments welcome!