Let M be a family of Mumford-type, that is, a family of polarized complex abelian fourfolds as introduced by Mumford. This family is defined starting from a quaternion algebra A over a real cubic number field and imposing a condition to the corestriction of such A. In this paper, under some extra conditions on the algebra A we make this condition explicit and in this way we are able to describe the polarization and the complex structures of the fibers.

Corestriction of central simple algebras and families of Mumford-type

GALLUZZI, Federica
1999-01-01

Abstract

Let M be a family of Mumford-type, that is, a family of polarized complex abelian fourfolds as introduced by Mumford. This family is defined starting from a quaternion algebra A over a real cubic number field and imposing a condition to the corestriction of such A. In this paper, under some extra conditions on the algebra A we make this condition explicit and in this way we are able to describe the polarization and the complex structures of the fibers.
1999
10
191
211
www.ems-ph.org
Abelian varieties; Hodge cycles; Hodge Conjecture
Galluzzi;Federica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/46322
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