Kummer Köprüsü: Bloch-Ogus Teorisi ile Regülatör Ayrışımı ve Semi-Order Law → Theorem 6.2 Birleşimi
We prove, via Bloch–Ogus theory, a block-diagonal decomposition of the p-adic syntomic regulator matrix for the Kummer surface X_t = Kum(E_t × E_t), where E_t is an elliptic family with a rank-1 jump at t_c. The decomposition turns the Semi-Order Law (|L(E_t,1)| ∼ C|t − t_c|^{1/2}) into a Theorem-6.2-type regulator singularity, det R_p(X_t) ∼ u·[log_p(t − t_c)]², thereby unifying the two earlier works through the Kummer construction. An expository appendix explains the proof strategy and states precisely why the remaining Conjecture 7.1 is not yet a theorem.
Authors
- Eyüp CEBE
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-08
- DOI
- https://doi.org/10.5281/zenodo.23240216
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- preprint