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Higher Hida and Coleman theories on the modular curve.

Authors :
Boxer, George
Pilloni, Vincent
Source :
Épijournal de Géométrie Algébrique (Epiga); 2022, Vol. 6, p1-33, 33p
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MODULAR curves
COHOMOLOGY theory
AUTOMORPHIC functions
MATHEMATICAL formulas
MATHEMATICAL analysis

Details

Language :
English
ISSN :
24916765
Volume :
6
Database :
Complementary Index
Journal :
Épijournal de Géométrie Algébrique (Epiga)
Publication Type :
Academic Journal
Accession number :
172371956
Full Text :
https://doi.org/10.46298/epiga.2022.6112
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