English

Hodge structures associated to SU(p,1)

Algebraic Geometry 2015-07-21 v2

Abstract

Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge structure in the cohomology of some abelian variety.

Keywords

Cite

@article{arxiv.1203.4016,
  title  = {Hodge structures associated to SU(p,1)},
  author = {Salman Abdulali},
  journal= {arXiv preprint arXiv:1203.4016},
  year   = {2015}
}
R2 v1 2026-06-21T20:35:59.712Z