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Habilitation à diriger des recherches

Aspects arithmétiques et algorithmiques des courbes de genre 1, 2 et 3

Abstract : We give various results on curves of genus 1,2 and 3. In particular, we give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields and we show how to compute Serre's obstruction for genus 3 curves. A chapter is devoted to cryptographic applications.
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Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-00459554
Contributor : Christophe Ritzenthaler <>
Submitted on : Wednesday, February 24, 2010 - 12:08:46 PM
Last modification on : Monday, July 6, 2020 - 7:18:03 PM
Long-term archiving on: : Friday, June 18, 2010 - 6:31:50 PM

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  • HAL Id : tel-00459554, version 1

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Christophe Ritzenthaler. Aspects arithmétiques et algorithmiques des courbes de genre 1, 2 et 3. Mathématiques [math]. Université de la Méditerranée - Aix-Marseille II, 2009. ⟨tel-00459554⟩

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