# The Euler number of hyper-K\"ahler manifolds of OG10 type

## TL;DR

This paper provides a straightforward proof that the Euler characteristic of hyper-K"ahler manifolds of OG10 type is 176,904, confirming a previously known result with a new approach.

## Contribution

It introduces a simplified proof for the Euler characteristic of OG10 type hyper-K"ahler manifolds using the Laza-Saccà-Voisin construction.

## Key findings

- Euler characteristic of OG10 hyper-K"ahler manifolds is 176,904
- Proof simplifies previous methods by Mozgovoy
- Utilizes Laza-Saccà-Voisin construction

## Abstract

Using the Laza-Sacc\`a-Voisin construction, we give a simple proof for the fact that the Euler characteristic of a hyper-K\"ahler manifold of OG10 type is 176,904, a result previously established by Mozgovoy.