Galois representations and ordinary reduction

TL;DR

This paper establishes criteria for p-adic Galois representations of smooth proper varieties over nonarchimedean fields to exhibit potentially good ordinary reduction, linking Galois theory with reduction properties.

Contribution

It introduces new conditions on p-adic Galois representations that ensure potentially good ordinary reduction for varieties over nonarchimedean fields.

Findings

Criteria for potentially good ordinary reduction based on Galois representations

Conditions linking Galois representations to reduction types

Insights into the structure of p-adic Galois representations

Abstract

We provide conditions on the p-adic Galois representation of a smooth proper variety over a complete nonarchimedean extension of Q_p to have (potentially) good ordinary reduction.