We describe the moduli spaces of morphisms between polarized complex abelian varieties. The discrete invariants, derived from a Poincar\'e 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.
Siegel coordinates and moduli spaces for morphisms of Abelian varieties
GUERRA, Lucio
2006
Abstract
We describe the moduli spaces of morphisms between polarized complex abelian varieties. The discrete invariants, derived from a Poincar\'e 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
