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math.AG2025
Motivic nearby cycles and their monodromy at a singular point
Ran Azouri
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 s…
math.AG2025
The Motivic Picard--Lefschetz Formula
Ran Azouri, Emil Jacobsen
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-homogen…