Zeta-functions of curves of genus 3 over finite fields

DOI10.1007/s10114-010-7476-1zbMath1223.11077OpenAlexW2070441579MaRDI QIDQ627618

Juan-Miguel Gracia

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7476-1

zbMATH Keywords

elliptic curveszeta-functionsJacobian varietiesmaximal curves

Mathematics Subject Classification ID

Cryptography (94A60) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Uses Software

• manYPoints

Cites Work

• Algebraic function fields and codes
• Zeta-functions of curves of genus 2 over finite fields
• Introduction to Abelian Varieties
• Computing zeta functions of nondegenerate curves
• Tables of curves with many points
• Hunting for Curves with Many Points
• Abelian varieties over finite fields
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