Motivic nearby cycles and their monodromy at a singular point
Algebraic Geometry
2025-11-12 v1 Algebraic Topology
K-Theory and Homology
Abstract
In this survey, we explain how to compute both the quadratic Euler characteristic of nearby cycles, and the motivic monodromy, at a quasi-homogeneous singularity. This gives, for such singularity, a quadratic refinement to the Deligne--Milnor formula in characteristic zero, and an enhancement of the Picard--Lefschetz formula to Voevodsky motives with rational coefficients.
Keywords
Cite
@article{arxiv.2511.07668,
title = {Motivic nearby cycles and their monodromy at a singular point},
author = {Ran Azouri},
journal= {arXiv preprint arXiv:2511.07668},
year = {2025}
}
Comments
Survey article; 12 pages; comments welcome!