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Bibliographic Details
Main Author: Morgan, Adam
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.08034
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Table of Contents:
  • 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.