vix.ing · top · new · best · stats · spec

Explicit reciprocity laws for diagonal classes: higher level cases

2024/02/21 by Luca Marannino, Marannino, Luca
Computer Science · #11F67(Primary) 11G40 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2402.13648

openalex publication_date 2024/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize the p-adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples (f,g,h) of modular eigenforms where f is a p-ordinary newform, while g and h are allowed to be (both) supercuspidal at p or (both) ramified principal series at p.

Related