For g ≥ 5 the locus of Prym varieties with a pseudoreflection of geometric origin is the union of three non-empty explicit irreducible families in the moduli space of principally polarized abelian varieties of dimension g-1.
On the locus of curves with automorphisms
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Pseudoreflections on Prym Varieties
For g ≥ 5 the locus of Prym varieties with a pseudoreflection of geometric origin is the union of three non-empty explicit irreducible families in the moduli space of principally polarized abelian varieties of dimension g-1.