Eichler–Shimura isomorphism in higher level cases and its applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.01.002
Abstract: Abstract Let Γ be a Fuchsian group of the first kind. The Eichler–Shimura isomorphism states that the space S k ( Γ ) is isomorphic to the first (parabolic) cohomology group associated to the Γ-module… read more here.
Keywords: cusp forms; isomorphism higher; shimura isomorphism; eichler shimura ... See more keywords
p-adic Eichler–Shimura maps for the modular curve
Sign Up to like & getrecommendations! Published in 2023 at "Compositio Mathematica"
DOI: 10.1112/s0010437x23007182
Abstract: We give a new proof of Faltings's $p$-adic Eichler–Shimura decomposition of the modular curves via Bernstein–Gelfand–Gelfand (BGG) methods and the Hodge–Tate period map. The key property is the relation between the Tate module and the… read more here.
Keywords: eichler shimura; shimura maps; adic eichler; eichler ... See more keywords