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arxiv: 1311.2071 · v4 · pith:BH6LU432new · submitted 2013-11-08 · 🧮 math.AG

Geometric constant term functor(s)

classification 🧮 math.AG
keywords constantd-modtermfunctorgeometricparabolicautomorphiccanonically
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We study the Eisenstein series and constant term functors in the framework of geometric theory of automorphic functions. Our main result says that for a parabolic P in G with Levi quotient M, the !-constant term functor CT_!:D-mod(Bun_G)-> D-mod(Bun_M) is canonically isomorphic to the *-constant term functor CT^-_*:D-mod(Bun_G)\to D-mod(Bun_M), taken with respect to the opposite parabolic P^-.

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