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.File in questo prodotto:
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