More points than expected on curves over finite field extensions

DOI10.1006/ffta.2000.0308zbMath1023.11029OpenAlexW1995293762MaRDI QIDQ5927539

Bradley W. Brock, Andrew Granville

Publication date: 10 April 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0308

zbMATH Keywords

finite fieldgenus \(g\) hyperelliptic curvesgenus-\(g\) curvesquadratic excessweighted average value

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (11)

Non-hyperelliptic curves of genus three over finite fields of characteristic two ⋮ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ Traces, high powers and one level density for families of curves over finite fields ⋮ The probability that a complete intersection is smooth ⋮ Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ Lower bounds on the maximal number of rational points on curves over finite fields ⋮ Computing binary curves of genus five ⋮ Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess ⋮ Fluctuations in the number of points on smooth plane curves over finite fields ⋮ Counting curves over finite fields ⋮ Traces of Hecke operators and refined weight enumerators of Reed-Solomon codes

Cites Work

• Nonsingular plane cubic curves over finite fields
• The number of regular semisimple classes of special linear and unitary groups
• La conjecture de Weil. I
• Modular elliptic curves and Fermat's Last Theorem
• The symmetric cube
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• On the Holomorphy of Certain Dirichlet Series
• Supersingular Curves of Genus 2 over Finite Fields of Characteristic 2
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
• Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: More points than expected on curves over finite field extensions