Tenth Algorithmic Number Theory Symposium ANTS-X University of California, San Diego July 9 – 13, 2012 Tenth Algorithmic Number Theory Symposium (ANTS-X) July 9 – 13, 2012

Fast computation of isomorphisms of hyperelliptic curves and explicit descent

Reynard Lercier, Christophe Ritzenthaler, and Jeroen Sijsling

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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