# A comparison principle for bounded plurisubharmonic functions on complex varieties in C^n

## TL;DR

This paper establishes a strong comparison principle for bounded plurisubharmonic functions on complex varieties and applies it to analyze the convergence of Monge-Ampère measures.

## Contribution

It introduces a stronger comparison principle for bounded plurisubharmonic functions on complex varieties and uses it to study measure convergence.

## Key findings

- Proved a strong comparison principle for bounded plurisubharmonic functions.
- Applied the principle to demonstrate convergence of Monge-Ampère measures.
- Enhanced understanding of pluripotential theory on complex varieties.

## Abstract

We prove a strong version of the comparison principle for bounded plurisubharmonic function on complex varieties. we then apply our main result to study convergence of Mong-Ampere mesures for bounded plurisubharmonic functions.