Higher Hida and Coleman theories on the modular curve

2020/02/17 by Boxer, George, Pilloni, Vincent · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2002.06845

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.

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• Higher Hida theory for Drinfeld modular curves

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