An Euler system for GU(2, 1)

Abstract

We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL(3) over imaginary quadratic fields, using the cohomology of Shimura varieties for GU(2, 1).

33 pages. Accepted to appear in "Mathematische Annalen"

References in corpus (1)

• A class number formula for Picard modular surfaces

Cited by in corpus (4)

• On some zeta-integrals for unramified representations of GSp(4)
• On integral aspects of Asai periods and Euler systems for ${\mathrm{Res}}_{E/\mathbf{Q}}{\mathrm{GL}}_2$
• Special cycles on orthogonal Shimura varieties
• P-adic L-functions for GL(3)