Almost ordinary abelian varieties over finite fields

Abstract

We provide a characterization of almost ordinary abelian varieties over finite fields, and use this characterization to provide lower bounds for the sizes of some almost ordinary isogeny classes.

References in corpus (1)

• Computing square-free polarized abelian varieties over finite fields

Cited by in corpus (6)

• Computing square-free polarized abelian varieties over finite fields
• Polarizations of abelian varieties over finite fields via canonical liftings
• Polarized superspecial simple abelian surfaces with real Weil numbers
• Ideal classes of orders in quaternion algebras
• Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields
• Computing base extensions of ordinary abelian varieties over finite fields