Stability of solutions to complex Monge-Amp\`ere equations in big cohomology classes

TL;DR

This paper proves stability results for solutions to complex Monge-Ampère equations within big cohomology classes, extending known results from Kähler classes to a broader setting.

Contribution

It generalizes stability results of complex Monge-Ampère equations from Kähler to big cohomology classes, broadening the theoretical framework.

Findings

Stability results established for solutions in big cohomology classes

Generalization from Kähler to big classes

Enhanced understanding of complex Monge-Ampère equations

Abstract

We establish various stability results for solutions of complex Monge-Amp\`ere equations in big cohomology classes, generalizing results that were known to hold in the context of K\"ahler classes.