Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects

Abstract : We apply classical invariant theory of binary forms to explicitly characterize isomorphism classes of hyperelliptic curves of small genus and, conversely, propose algorithms for reconstructing hyperelliptic models from given invariants. We focus on genus 3 hyperelliptic curves. Both geometric and arithmetic aspects are considered.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00694121
Contributor : Marie-Annick Guillemer <>
Submitted on : Thursday, May 3, 2012 - 3:34:12 PM
Last modification on : Friday, November 16, 2018 - 1:22:01 AM

Links full text

Identifiers

Citation

Reynald Lercier, Christophe Ritzenthaler. Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Journal of Algebra, Elsevier, 2012, 372, pp.595-636. ⟨10.1016/j.jalgebra.2012.07.054⟩. ⟨hal-00694121⟩

Share

Metrics

Record views

393