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Stefano Marseglia: Polarizations of abelian varieties over finite fields via canonical liftings

Tid: On 2021-04-21 kl 13.15

Plats: Zoom, meeting ID: 685 0671 8075

Medverkande: Stefano Marseglia

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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 liftings to characteristic zero, i.e., a lifting for which the reduction morphism induces an isomorphism of endomorphism rings.

This is joint work with Jonas Bergström and Valentijn Karemaker


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