Higher Hida and Coleman theories on the modular curve

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.

Bibliographic Details
Main Authors: George Boxer, Vincent Pilloni
Format: Article
Language:English
Published: Association Epiga 2022-09-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/6112/pdf
Description
Summary: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.
ISSN:2491-6765