Títol:
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Trisection for supersingular genur 2 curves in characteristic 2
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Autor/a:
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Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Thériault, Nicolas
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Notes:
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By reversing reduction in divisor class arithmetic we provide efficient trisection algorithms for Jacobians of supersingular genus 2 curves over finite fields of characteristic 2. With our technique we obtain new results for these Jacobians: we show how to find their 3-torsion subgroup, we prove there is none with 3-torsion subgroup of rank 3 and we prove their the maximal 3-power order subgroup is isomorphic to either Z/3^vZ or (Z/3^{v/2}Z)^2 or (Z/3^{v/4}Z)^4, where v is the 3-adic valuation v3(#Jac(C)(F2^m}). Ours are the first trisection formulae available in literature. |
Matèries:
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-Hyperelliptic curve -Supersingular -Genus 2 |
Drets:
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(c) American Institute of Mathematical Sciences (AIMS), 2014
info:eu-repo/semantics/restrictedAccess |
Tipus de document:
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article publishedVersion |
Publicat per:
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American Institute of Mathematical Sciences (AIMS)
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