Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2
Number Theory
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0610276,
title = {Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2},
author = {Enric Nart and Christophe Ritzenthaler},
journal= {arXiv preprint arXiv:math/0610276},
year = {2007}
}
Comments
22 pages