English

Explicit reciprocity laws for diagonal classes: higher level cases

Number Theory 2026-05-05 v3

Abstract

We generalize the pp-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)(f,g,h) of modular eigenforms where ff is a pp-ordinary newform, while gg and hh are allowed to be (both) supercuspidal at pp or (both) ramified principal series at pp.

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

R2 v1 2026-06-28T14:55:32.018Z