# The $C^0$ estimate for the quaternionic Calabi conjecture

## TL;DR

This paper establishes a $C^0$ estimate for the quaternionic Monge-Ampère equation on compact hyperKähler with torsion manifolds, simplifying previous proofs and advancing understanding in quaternionic geometry.

## Contribution

Provides a simpler proof of the $C^0$ estimate for the quaternionic Monge-Ampère equation on hyperKähler with torsion manifolds, improving mathematical techniques in the field.

## Key findings

- Successfully proved the $C^0$ estimate
- Simplified the proof process compared to previous work
- Enhanced understanding of quaternionic Monge-Ampère equations

## Abstract

We prove the $C^0$ estimate for the quaternionic Monge-Amp\`ere equation on compact hyperK\"ahler with torsion manifolds. Our goal is to provide a simpler proof than the one presented by Alesker and Shelukhin.