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math.NT2021★ 3 cited
Every finite abelian group is the group of rational points of an ordinary abelian variety over , and
Stefano Marseglia, Caleb Springer
We show that every finite abelian group occurs as the group of rational points of an ordinary abelian variety over , and . We produce…
math.NT2021★ 8 cited
Polarizations of abelian varieties over finite fields via canonical liftings
Jonas Bergström, Valentijn Karemaker, Stefano Marseglia
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…