arXiv:1203.5440 Abstract | arXiv Analytics

arXiv:1203.5440 [math.AG]Abstract References Reviews Resources

Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent

Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling

Published 2012-03-24, updated 2015-01-10Version 2

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.

Journal: Proceedings of the Tenth Algorithmic Number Theory Symposium, volume 1 of The Open Book Series, pages 463-486. Mathematical Sciences Publishers, 2013

DOI: 10.2140/obs.2013.1.463

Categories: math.AG, math.NT

Keywords: hyperelliptic curves, explicit descent, fast computation, isomorphisms

Tags: journal article

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