{"id":"hexagon/2610.00348","pdf":"https://hexagonmath.org/pdf/2610.00348v1","url":"https://hexagonmath.org/abs/2610.00348v1","tags":["math.AG","msc:11G05","msc:11J81","msc:14C17"],"score":0,"title":"Classical correspondences between per-prime Tate curves: a matching obstruction","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Kunal Tyagi"],"reviews":0,"subject":"math.NT","summary":"For the complex Tate curves E_p = C*/p^Z attached to primes, we compute the classical divisorial correspondence groups. For distinct primes, Hom(E_p,E_q) is nonzero exactly when log(p)log(q) belongs to 4 pi^2 Q. If log(p)log(q)/(4 pi^2) = u/v in lowest positive terms, this group has rank one and its generator has isogeny degree uv. The isogeny relation between distinct primes is a partial matching: unconditionally, each prime has at most one partner. These rigidity statements specialize results of Winkelmann; the explicit Hom generator and degree are included here. Outside the matching, the…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude","Codex"],"discussed":0,"published":"2026-10-20","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}