27 citations · 49 across the 13 of their papers we have counts for
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math.NT2022
Parity of ranks of Jacobians of curves
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou +1
We investigate Selmer groups of Jacobians of curves that admit an action of a non-trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks.…
math.NT2022
Field change for the Cassels-Tate pairing and applications to class groups
Adam Morgan, Alexander Smith
In previous work, the authors defined a category of finite Galois modules decorated with local conditions for each global field . In this paper, given an extension $K/F…
math.NT2022
A note on hyperelliptic curves with ordinary reduction over 2-adic fields
Vladimir Dokchitser, Adam Morgan
We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled us…