A note on local formulae for the parity of Selmer ranks
Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of 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 ‐Selmer groups.
Authors
- Adam Morgan (ORCID: https://orcid.org/0000-0003-2824-9070)
Institutions
- University of Cambridge (GB)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-07-14
- DOI
- https://doi.org/10.1112/blms.70146
- Citations
- 1
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 5.38
Funders
- Engineering and Physical Sciences Research Council