Order 5 Brauer-Manin obstructions to the integral Hasse principle on log K3 surfaces

2020/05/28 by Lyczak, Julian
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2005.14013

Abstract

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 integral Hasse principle.

Related

• Quantitative arithmetic of diagonal degree 2 K3 surfaces
• Cubic surfaces failing the integral Hasse principle
• Geometry and arithmetic of certain log K3 surfaces
• Effectivity of Brauer-Manin obstructions on surfaces
• Brauer-Manin obstruction for Markoff surfaces