Central Image from Local Selmer Inclusion Certificates
Abstract
This preprint is Core II of the TEBAC BSD program. It proves a claim-safe central-image criterion: two unreduced Selmer inclusion certificates imply the reduced central image equality \(\rho_E(K_{E,\mathbb{Q}})=\kappa_E(M_{E,\mathbb{Q}})\subset S^{\mathrm{red}}_{E,\mathrm{cen}}\). The module does not claim a standalone proof of the Birch--Swinnerton--Dyer conjecture. It supplies the structural bridge needed after Core I and identifies the remaining arithmetic burden as the construction of local spectral-to-Kummer response identities.
Fields of Study & Subjects
Cryptography and Data Security
Complexity and Algorithms in Graphs
Random Matrices and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 30 May 2026
- Language
- EN
- Document type
- Preprint