Higher Hida and Coleman theories on the modular curve
Épijournal de Géométrie Algébrique, Tome 6 (2022)

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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.
DOI : 10.46298/epiga.2022.6112
Classification : 11F33, 11F85, 14G22, 14G35
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     author = {Boxer, George and Pilloni, Vincent},
     title = {Higher {Hida} and {Coleman} theories on the modular curve},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.6112/}
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Boxer, George; Pilloni, Vincent. Higher Hida and Coleman theories on the modular curve. Épijournal de Géométrie Algébrique, Tome 6 (2022). doi: 10.46298/epiga.2022.6112

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