3 papers
math.NT2025
Counting quadratic points on Fano varieties
Francesca Balestrieri, Kevin Destagnol, Julian Lyczak +2
This paper initiates the systematic study of the number of points of bounded height on symmetric squares of weak Fano varieties. We provide a general framework for establishing the…
math.NT2020
The Batyrev-Tschinkel conjecture for a non-normal cubic surface and its symmetric square
Nils Gubela, Julian Lyczak
We complete the study of points of bounded height on irreducible non-normal cubic surfaces by doing the point count on the cubic surface given by over a…
math.NT2020
Order 5 Brauer-Manin obstructions to the integral Hasse principle on log K3 surfaces
Julian Lyczak
We construct families of log K3 surfaces and study the arithmetic of their members. We use this to produce explicit surfaces with an order 5 Brauer-Manin obstruction to the integra…