Explicit reciprocity laws for diagonal classes: higher level cases
Number Theory
2026-05-05 v3
Abstract
We generalize the -adic explicit reciprocity laws for balanced diagonal classes by Darmon--Rotger and Bertolini--Seveso--Venerucci to the case of geometric balanced triples of modular eigenforms where is a -ordinary newform, while and are allowed to be (both) supercuspidal at or (both) ramified principal series at .
Cite
@article{arxiv.2402.13648,
title = {Explicit reciprocity laws for diagonal classes: higher level cases},
author = {Luca Marannino},
journal= {arXiv preprint arXiv:2402.13648},
year = {2026}
}
Comments
Final version, accepted for publication in ANT