New bounds on the maximum number of points on genus-4 curves over small finite fields

DOI10.1090/conm/574/11431zbMath1317.11064arXiv1108.5393OpenAlexW1554316282MaRDI QIDQ5500540

Everett W. Howe

Publication date: 6 August 2015

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5393

zbMATH Keywords

small finite fieldsgenus-4 curvesmaximum number of rational points

Mathematics Subject Classification ID

Rational points (14G05) 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)

Related Items (3)

Superspecial curves of genus 4 in small characteristic ⋮ Curves of medium genus with many points ⋮ Optimal curves of low genus over finite fields

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