Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
arXiv:math/0610276
Abstract
We exhibit the isogeny classes of supersingular abelian threefolds over F_{2^n} 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 F_{2^n}. All the curves can be obtained explicitly.
22 pages