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BIRS Workshop Lecture Videos

Density of rational points on certain elliptic K3 surfaces Huang, Zhizhong


We propose a 2-cover method to study rational points on elliptic surfaces. We apply it to several isotrivial Kummer-type families whose generic Mordell-Weil ranks are 0 so that geometric argument may fail and we show that for these families rational points are Zariski dense and even dense in real topology, which is thereby in favor of a conjecture of Mazur.

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