Trisection for supersingular genus \(2\) curves in characteristic \(2\)

DOI10.3934/amc.2014.8.375zbMath1364.11119OpenAlexW2024193083MaRDI QIDQ2513757

Josep M. Miret Biosca, Nicolas Thériault, Jordi Pujolàs

Publication date: 28 January 2015

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2014.8.375

zbMATH Keywords

hyperelliptic curveexplicit formulassupersingulargenus 2trisectionbinary fielddivisor class

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20)

Related Items (3)

Trisection for genus 2 curves in odd characteristic ⋮ Trisection for non-supersingular genus 2 curves in characteristic 2 ⋮ Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic

Cites Work

• Explicit 2-power torsion of genus 2 curves over finite fields
• Nonsingular plane cubic curves over finite fields
• On supersingular abelian varieties of dimension two over finite fields
• Subvarieties of moduli spaces
• Computing in the Jacobian of a Hyperelliptic Curve
• Information Security and Privacy

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