Higher Hida and Coleman theories on the modular curve

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.

References in corpus (1)

• Hecke operators and the coherent cohomology of Shimura varieties

Cited by in corpus (6)

• Higher Coleman Theory
• An introduction to Eisenstein measures
• P-adic Asai L-functions for quadratic Hilbert eigenforms
• Slope classicality via completed cohomology
• Higher Hida theory for Hilbert modular varieties in the totally split case
• A modular proof of the properness of the Coleman-Mazur eigencurve