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- W2756037186 abstract "We present a quasi-linear algorithm to compute isogenies between Jacobians of curves of genus 2 and 3 starting from the equation of the curve and a maximal isotropic subgroup of the l-torsion, for l an odd prime number, generalizing the Velu's formula of genus 1. This work is based from the paper Computing functions on Jacobians and their quotients of Jean-Marc Couveignes and Tony Ezome. We improve their genus 2 case algorithm, generalize it for genus 3 hyperelliptic curves and introduce a way to deal with the genus 3 non-hyperelliptic case, using algebraic theta functions." @default.
- W2756037186 created "2017-09-25" @default.
- W2756037186 creator A5066632431 @default.
- W2756037186 date "2019-08-26" @default.
- W2756037186 modified "2023-10-18" @default.
- W2756037186 title "Computing isogenies between Jacobian of curves of genus 2 and 3" @default.
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