# On K-polystability for log del Pezzo pairs of Maeda type

## TL;DR

This paper provides an algebraic proof determining the K-polystability of log del Pezzo pairs of Maeda type, extending known results over the complex numbers to a broader algebraic context.

## Contribution

It offers a new algebraic proof for the K-polystability of these pairs, complementing previous complex-analytic results.

## Key findings

- Log del Pezzo pairs of Maeda type are K-polystable under certain conditions.
- The proof extends known complex results to an algebraic setting.
- Clarifies criteria for K-polystability in this class of pairs.

## Abstract

We give an algebraic proof for which log del Pezzo pairs of Maeda type are K-polystable or not. If the base field is the complex number field, then the result is already known by Li and Sun.