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Cycles in the chamber homology of GL(3)

Anne-Marie Aubert, Samir Hasan, Roger Plymen

math.KTarXiv:math/0410147

Abstract

Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3).

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