A Generalization of Greenberg's $\Cal L$-invariant

TL;DR

This paper extends Greenberg's al L-invariant to a broader class of semistable Galois representations using the framework of (,)-modules, advancing the understanding of p-adic Hodge theory.

Contribution

It generalizes Greenberg's al L-invariant to semistable representations via (,)-modules, broadening its applicability.

Findings

Provides a new construction of al L-invariant for semistable representations

Connects (,)-modules with al L-invariant theory

Enhances tools for p-adic Hodge theory and Galois representations

Abstract

Using the theory of $(\varphi, \Gamma)$-modules we generalizes Greenberg's construction of the $\Cal L$-invariant to semistable representations