数学研究所

学术报告

数论研讨班

报告人:  Christian Bernert (Leibniz Universität Hannover)

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

时  间：2024.10.21（星期一）15：30-16：30

地  点：Zoom Meeting ID: 867 7302 7340/Passcode: 969540

摘 要：I will report on joint work with Ulrich Derenthal, where we establish Manin’s conjecture

 for split smooth quintic del Pezzo surfaces over arbitrary number fields with respect to fairly 

general anticanonical height functions, using universal torsors. This is the first instance where

 Manin’s conjecture is established over number fields different from Q for a non-toric smooth 

del Pezzo surface.