Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2

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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

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Number Theory, Algebraic Geometry, 11G20 ; 14G10 ; 14G15

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http://salesiana.dossiersoluciones.com/handle/123456789/117890

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610276
 http://arxiv.org/abs/math/0610276

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arXiv