Abstract
We study rational points on ramified covers of abelian varieties over certain infinite Galois extensions of
Dedicated to Moshe Jarden on the occasion of his 80th birthday
Funding statement: Lior Bary-Soroker was supported by the Israel Science Foundation (grant no. 702/19). Sebastian Petersen was supported by a research grant UMO-2018/31/B/ST1/01474 of the National Centre of Sciences of Poland.
Acknowledgements
The authors would like to thank Daniele Garzoni for helpful discussions around [12], Cornelius Greither for interesting discussions around Lemma 2.11, Remy van Dobben de Bruyn for the suggestion to use the Hilbert scheme in the proof of Lemma 2.13, and the referee as well as Jakob Stix for helpful remarks on the submitted version. Part of this work was done while A.F. was a guest of Tel Aviv University, and he would like to thank the School of Mathematics for their hospitality.
References
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