# On the existence of universal families of marked irreducible holomorphic symplectic manifolds

## TL;DR

This paper proves the existence of universal families over moduli spaces and Teichmuller spaces for marked irreducible holomorphic symplectic manifolds, advancing the understanding of their moduli.

## Contribution

It establishes the existence of universal families over all components of the moduli space and Teichmuller spaces for these manifolds, which was previously unknown.

## Key findings

- Universal families exist over every component of the moduli space.
- Analogous results hold for Teichmuller spaces.
- Enhances the understanding of the structure of moduli spaces.

## Abstract

We prove the existence of a universal family over every component of the moduli space of marked irreducible holomorphic symplectic manifolds. The analogous result follows for the Teichmuller spaces.