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.

    https://doi.org/10.46298/epiga.2022.6112
    Source : oai:arXiv.org:2002.06845
    Volume: Volume 6
    Published on: September 13, 2022
    Accepted on: September 13, 2022
    Submitted on: February 18, 2020
    Keywords: Mathematics - Number Theory
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
    Fundings :
      Source : OpenAIRE Graph
    • Higher coherent coholomogy of Shimura varieties; Funder: European Commission; Code: 818856
    • PostDoctoral Research Fellowship; Funder: National Science Foundation; Code: 1503047

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