Higher Hida and Coleman theories on the modular curve
Number Theory
2025-10-08 v2
Abstract
We construct Hida and Coleman theories for the degree 0 and 1 cohomology of automorphic line bundles on the modular curve and we define a p-adic duality pairing between the theories in degree 0 and 1.
Keywords
Cite
@article{arxiv.2002.06845,
title = {Higher Hida and Coleman theories on the modular curve},
author = {George Boxer and Vincent Pilloni},
journal= {arXiv preprint arXiv:2002.06845},
year = {2025}
}