Polarizations of Abelian Varieties Over Finite Fields via Canonical Liftings
Polarizations of Abelian Varieties Over Finite Fields via Canonical Liftings
Abstract We describe all polarizations for all abelian varieties over a finite field in a fixed isogeny class corresponding to a squarefree Weil polynomial, when one variety in the isogeny class admits a canonical lifting to characteristic zero, that is, a lifting for which the reduction morphism induces an isomorphism …