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Hyperelliptic supersingular curves

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Arithmetic Algebraic Geometry

Part of the book series: Progress in Mathematics ((PM,volume 89))

Abstract

Consider algebraic curves of genus 3 in positive characteristic which are hyperelliptic, and whose Jacobian is a supersingular abelian variety. The main result of this paper is: every component of this locus in the moduli space has dimension one (cf. Theorem (1.12)).

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Oort, F. (1991). Hyperelliptic supersingular curves. In: van der Geer, G., Oort, F., Steenbrink, J. (eds) Arithmetic Algebraic Geometry. Progress in Mathematics, vol 89. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0457-2_11

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  • DOI: https://doi.org/10.1007/978-1-4612-0457-2_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6769-0

  • Online ISBN: 978-1-4612-0457-2

  • eBook Packages: Springer Book Archive

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