Mordell Weil rank jumps and the Hilbert property
Appears in collection : 2019 - T2 - WS1 - Rational Points on Fano and Similar Varieties
We study rank jumps of the Mordell-Weil groups of the fibres of elliptic surfaces. I will discuss the cases for which we show that the set for which the rank jumps is not thin. This is a work in progress with Dan Loughran.
