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 curveArticle

Authors: George Boxer ORCID; 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: 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)
Funding:
    Source : OpenAIRE Graph
  • PostDoctoral Research Fellowship; Funder: National Science Foundation; Code: 1503047
  • Higher coherent coholomogy of Shimura varieties; Funder: European Commission; Code: 818856

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