# Odd torsion Brauer-Manin obstruction on degree 2 K3 surface

## Masahiro Nakahara (Rice)

We analyze the Brauer-Manin obstruction to rational points on the K3 surfaces over Q given by
double covers of P^2 ramified over a diagonal sextic. After finding an explicit set of
generators for the geometric Picard group of such a surface, we find a counterexample to the Hasse principle explained by an odd torsion element in the Brauer group. This is joint work with Patrick Corn.

Tuesday, February 28th, at 4:00pm in HBH 227

Return to talks from Spring 2017