Non-existence of a curve over $\mathbb {F}_3$ of genus 5 with 14 rational points

DOI10.1090/S0002-9939-99-05351-4zbMath0983.11036MaRDI QIDQ4699522

Kristin E. Lauter

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

zeta functioncurves over finite fieldsFrobenius endomorphismsprojective curve of genus 5

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 (5)

Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points ⋮ Corrigendum to: ``Improved upper bounds for the number of points on curves over finite fields ⋮ Counting curves over finite fields ⋮ Jacobians in isogeny classes of abelian surfaces over finite fields ⋮ Abelian Surfaces over Finite Fields as Jacobians

This page was built for publication: Non-existence of a curve over $\mathbb {F}_3$ of genus 5 with 14 rational points