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).

arXiv comment33 pages. Accepted to appear in "Mathematische Annalen"

References in corpus (10)

• Rankin--Eisenstein classes and explicit reciprocity laws
• Iwasawa theory and p-adic L-functions over ${\mathbf{Z}}_p^2$-extensions
• Euler systems for GSp(4)
• Decomposition de motifs abeliens
• Higher Hida theory and p-adic L-functions for GSp(4)
• Spherical varieties and norm relations in Iwasawa theory
• Heegner points in Coleman families
• Euler systems with local conditions
• Anticyclotomic Euler systems for unitary groups
• A class number formula for Picard modular surfaces

Cited by in corpus (6)

• Euler systems for GSp(4)
• Higher Hida theory and p-adic L-functions for GSp(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)