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Fast computation of
isomorphisms of hyperelliptic curves and explicit Galois
descent
Reynald Lercier, Christophe Ritzenthaler and Jeroen Sijsling |
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Vol. 1 (2013), No. 1, 463–486
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Abstract |
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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. |
Keywords
invariants, covariants, hyperelliptic curves, binary forms,
Galois descent, isomorphism, moduli, algorithm
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Mathematical Subject Classification 2010
Primary: 13A50
Secondary: 14Q05, 14H10, 14H25
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Milestones
Accepted: 2 October 2013
Published: 14 November 2013
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Authors |
| Reynald Lercier | |
| DGA MI La Roche Marguerite 35174 Bruz France |
Laboratoire IRMAR Université de Rennes 1 Campus de Beaulieu 35042 Rennes France |
| Christophe Ritzenthaler | |
| Institut de Mathématiques de
Luminy UMR 6206 du CNRS Luminy, Case 907 13288 Marseille France |
Laboratoire IRMAR, UMR CNRS
6625 Campus de Beaulieu 35042 Rennes France |
| Jeroen Sijsling | |
| Laboratoire IRMAR Université de Rennes 1 Campus de Beaulieu 35042 Rennes France |
Mathematics Institute Zeeman Building University of Warwick Coventry CV4 7AL United Kingdom |
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