A note on local formulae for the parity of Selmer ranks
Number Theory
2024-09-13 v1
Abstract
In this note, we provide evidence for a certain twisted version of the parity conjecture for Jacobians, introduced in prior work of V. Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p-infinity Selmer groups.
Cite
@article{arxiv.2409.08034,
title = {A note on local formulae for the parity of Selmer ranks},
author = {Adam Morgan},
journal= {arXiv preprint arXiv:2409.08034},
year = {2024}
}
Comments
15 pages, comments welcome!