Siegel coordinates and moduli spaces for morphisms of abelian varieties

Details Siegel coordinates and moduli spaces for morphisms of abelian varieties Siegel coordinates and moduli spaces for morphisms of abelian varieties

2000-06-11

arxiv.org/abs/math/0006082v2

Mathematics

Algebraic Geometry

21 pages, Latex; reformatted

Scientific paper

We describe the moduli spaces of morphisms between polarized complex abelian varieties. The discrete invariants, derived from a Poincare' decomposition of morphisms, are the types of polarizations and of lattice homomorphisms occurring in the decomposition. For a given type of morphisms the moduli variety is irreducible, and is obtained from a product of Siegel spaces modulo the action of a discrete group.

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