Distribution locale des points rationnels de hauteur born\'ee sur une surface de del Pezzo de degr\'e 6

TL;DR

This paper develops a measure to precisely describe the local asymptotic distribution of rational points of bounded height on a degree 6 del Pezzo surface, focusing on their behavior near general rational points.

Contribution

It introduces a new measure that captures the local distribution of rational points, advancing understanding in diophantine approximation on del Pezzo surfaces.

Findings

Established a measure for local distribution of rational points

Described asymptotic behavior around general rational points

Enhanced understanding of diophantine approximation on surfaces

Abstract

We establish a measure which describes in a precise way the local asymptotic distribution of rational points outside the locally accumulating subvarieties around a general rational point on a del Pezzo surface of degree 6 in the sense of diophantine approximation.