# Integral points of bounded height on a log Fano threefold

## TL;DR

This paper provides an asymptotic count of integral points with bounded height on a specific log Fano threefold, using universal torsors to handle the geometric complexity.

## Contribution

It introduces a new asymptotic formula for integral points on a blow-up of projective space outside certain planes, employing universal torsors.

## Key findings

- Asymptotic formula for integral points of bounded height
- Application of universal torsors to a log Fano threefold
- Quantitative results on the distribution of integral points

## Abstract

We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of $\mathbb{P}^3$ outside certain planes using universal torsors.