Motivic versions of mass formulas by Krasner, Serre and Bhargava

TL;DR

This paper develops motivic analogues of classical mass formulas by Krasner, Serre, and Bhargava, providing a unified framework for counting local field extensions using motivic methods.

Contribution

It introduces motivic versions of established mass formulas, extending their applicability within the context of algebraic geometry and motivic integration.

Findings

Motivic mass formulas generalize classical counts of local field extensions.

Unified framework for counting extensions using motivic techniques.

Potential applications in arithmetic geometry and number theory.

Abstract

We prove motivic versions of mass formulas by Krasner, Serre and Bhargava concerning (weighted) counts of extensions of local fields.