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arXiv · 1203.5440

Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent

Reynald Lercier·Christophe Ritzenthaler·Jeroen Sijsling
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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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Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. 2012-03-24. Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. https://doi.org/10.2140/obs.2013.1.463

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