On equivariant class formulas for t-modules

TL;DR

This paper develops an equivariant class formula for z-deformations of t-modules, providing a new theoretical framework that extends existing formulas under mild conditions.

Contribution

It introduces an equivariant class formula for z-deformations of t-modules, advancing the understanding of their algebraic and arithmetic properties.

Findings

Derived an equivariant class formula for z-deformations of t-modules

Extended class formulas to broader classes of t-modules under mild conditions

Provided theoretical insights into the structure of t-modules and their deformations

Abstract

We obtain an equivariant class formula for z-deformation of t-modules. Under mild conditions, it allows us to get an equivariant class formula for t-modules.