Kuga fiber variety

In algebraic geometry, a Kuga fiber variety, introduced by Kuga (1966), is a fiber space whose fibers are abelian varieties and whose base space is an arithmetic quotient of a Hermitian symmetric space.

References

• Kuga, Michio (1966), "Fiber varieties over a symmetric space whose fibers are abelian varieties", Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), Providence, R.I.: American Mathematical Society, pp. 338–346 
• Satake, Ichirô (1980), Algebraic structures of symmetric domains, Kanô Memorial Lectures, 4, Tokyo: Iwanami Shoten