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math.AG2024
Motivic versions of mass formulas by Krasner, Serre and Bhargava
Takehiko Yasuda
We prove motivic versions of mass formulas by Krasner, Serre and Bhargava concerning (weighted) counts of extensions of local fields.
math.AG2023
Higher Jacobian ideals, contact equivalence and motivic zeta functions
Quy Thuong Lê, Takehiko Yasuda
We show basic properties of higher Jacobian matrices and higher Jacobian ideals for functions and apply it to obtain two results concerning singularities of functions. Firstly, we…