George Boxer ; Vincent Pilloni - Higher Hida and Coleman theories on the modular curve

epiga:6112 - Épijournal de Géométrie Algébrique, September 13, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.6112
Higher Hida and Coleman theories on the modular curve

Authors: George Boxer ; Vincent Pilloni

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.


Volume: Volume 6
Published on: September 13, 2022
Accepted on: September 13, 2022
Submitted on: February 18, 2020
Keywords: Mathematics - Number Theory


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