Computing binary curves of genus five

DOI10.1016/j.jpaa.2023.107522arXiv2202.07809OpenAlexW4386507656MaRDI QIDQ6185299

Dušan Dragutinović

Publication date: 8 January 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07809

zbMATH Keywords

finite fieldscurvesgenus five

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Automorphisms of curves (14H37)

Cites Work

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• Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves
• Binary curves of small fixed genus and gonality with many rational points
• Counting the number of trigonal curves of genus 5 over finite fields
• More points than expected on curves over finite field extensions

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