# Hodge-Newton indecomposability and a combinatorial identity

## TL;DR

This paper offers a new perspective on Hodge-Newton indecomposability and provides a unified proof of a combinatorial identity related to affine Deligne-Lusztig varieties with finite Coxeter elements.

## Contribution

It introduces an alternative viewpoint on Hodge-Newton indecomposability and simplifies the proof of a key combinatorial identity in the context of affine Deligne-Lusztig varieties.

## Key findings

- Unified proof of a combinatorial identity
- New interpretation of Hodge-Newton indecomposability
- Enhanced understanding of affine Deligne-Lusztig varieties

## Abstract

We present a simple alternative viewpoint on Hodge-Newton indecomposability, illustrating its explanatory value through a uniform proof of a combinatorial identity arising from affine Deligne-Lusztig varieties with finite Coxeter part.