Fast computation of isomorphisms of hyperelliptic curves and explicit descent

Abstract : We show how to speed up the computation of isomorphisms of hyperelliptic curves by using covariants. We also obtain new theoretical and practical results concerning models of these curves over their field of moduli.
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https://hal.archives-ouvertes.fr/hal-00694117
Contributor : Marie-Annick Guillemer <>
Submitted on : Thursday, May 3, 2012 - 3:32:08 PM
Last modification on : Thursday, November 15, 2018 - 11:56:36 AM

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Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Fast computation of isomorphisms of hyperelliptic curves and explicit descent. ANTS-X, Jul 2012, San Diego, United States. pp.463-486, ⟨10.2140/obs.2013.1.463⟩. ⟨hal-00694117⟩

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