Classification of Kuga fiber varieties

We complete Satake's classification of Kuga fiber varieties by showing that if a representation rho of a hermitian algebraic group satisfies Satake's necessary conditions, then some multiple of rho defines a Kuga fiber variety.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

We complete the classification of Kuga fiber varieties by demonstrating that a multiple of a representation rho, satisfying Satake's necessary conditions, defines a Kuga fiber variety.