An Euler system for GU(2, 1)

Abstract

We construct an Euler system associated to cohomological automorphic representations of the unitary similitude group GU(2, 1).

Special cycles on orthogonal Shimura varieties

“…The idea of applying G(A f ) translation is not new. Loeffler, Cornut and many other people have already used this idea to construct Euler systems (see [20], [21], [11], [4], [2], [13]). Our method is different from Loeffler's methods.…”