English

An Euler system for GU(2, 1)

Number Theory 2023-09-15 v3

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).

Keywords

Cite

@article{arxiv.2010.10946,
  title  = {An Euler system for GU(2, 1)},
  author = {David Loeffler and Christopher Skinner and Sarah Livia Zerbes},
  journal= {arXiv preprint arXiv:2010.10946},
  year   = {2023}
}

Comments

33 pages. Accepted to appear in "Mathematische Annalen"

R2 v1 2026-06-23T19:31:14.390Z