J. Lyczak

activity

20172025

most citedA uniform bound on the Brauer groups of certain log K3 surfaces

3 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

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 $W$ given by $t_{0}^{2} t_{2} = t_{1}^{2} t_{3}$ 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…