Distribution of rational points on random Fano hypersurfaces

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2026 Open access

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Authors: Yohsuke Matsuzawa, Yuta Suzuki
DOI: 10.2422/2036-2145.202401_014
Cited by: 0

Abstract

We prove an asymptotic formula for the average number of rational points on Fano hypersurfaces that are contained in a small ball centered at a given adelic point. We also prove an asymptotic formula for the number of hypersurfaces admitting adelic points that are contained in a small ball.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Analytic Number Theory Research Limits and Structures in Graph Theory

Publication details

Journal / source
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Pages
66–66
Publication date
19 January 2026
Language
IT