Automorphic Lefschetz properties via L² cohomology
Cossutta, Mathieu
Original · EN
In this paper one proves a special case of a conjecture by Nicolas Bergeron. This conjecture is a kind of automorphic Lefschetz property. It relates the primitive cohomology of a locally symmetric manifolds modeled on U(p,q+r) to the primitive cohomology of some of its totally geodesic submanifolds that are locally symmetric and modeled on U(p,q).
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