Points of bounded height on quintic del Pezzo surfaces over number fields

verfasst von

Christian Bernert, Ulrich Derenthal

Abstract

We prove Manin's conjecture for split smooth quintic del Pezzo surfaces over arbitrary number fields with respect to fairly general anticanonical height functions. After passing to universal torsors, we first show that we may restrict the torsor variables to their typical sizes, and then we can solve the counting problem in the framework of o-minimal structures.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Typ

Preprint

Publikationsdatum

30.05.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2405.20293 (Zugang: Offen)