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Siegel coordinates and moduli spaces for morphisms of abelian varieties

Lucio Guerra
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Abstract

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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Lucio Guerra. 2003-09-06. Siegel coordinates and moduli spaces for morphisms of abelian varieties. https://arxiv.org/abs/math/0006082

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