Siegel coordinates and moduli spaces for morphisms of Abelian varieties |
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Authors: | Lucio Guerra |
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Affiliation: | (1) Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli 1, 06123 Perugia, Italy |
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Abstract: | We describe the moduli spaces of morphisms between polarized complex abelian varieties. The discrete invariants, derived from a Poincaré 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. Mathematics Subject Classification (2000) 14K20 |
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Keywords: | Morphisms of abelian varieties Poincaré decomposition Moduli spaces |
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