Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
Enric Nart, Christophe Ritzenthaler
Abstract
We exhibit the isogeny classes of supersingular abelian threefolds over F2n containing the Jacobian of a genus 3 curve. In particular, we prove that for even n>6 there always exist a maximal and a minimal curve over F2n. All the curves can be obtained explicitly.
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