English

Classification of Kuga fiber varieties

Algebraic Geometry 2020-04-01 v1

Abstract

We complete Satake's classification of Kuga fiber varieties by showing that if a representation ρ\rho of a hermitian algebraic group satisfies Satake's necessary conditions, then some multiple of ρ\rho defines a Kuga fiber variety.

Cite

@article{arxiv.2003.13769,
  title  = {Classification of Kuga fiber varieties},
  author = {Salman Abdulali},
  journal= {arXiv preprint arXiv:2003.13769},
  year   = {2020}
}
R2 v1 2026-06-23T14:32:45.822Z