On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields

DOI10.1016/j.ffa.2003.09.005zbMath1116.14012OpenAlexW2027306235MaRDI QIDQ596590

Marc Perret, Yves Aubry

Publication date: 10 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2003.09.005

zbMATH Keywords

finite fieldzeta functionrational pointalgebraic curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) 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 (8)

Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces ⋮ Codes from Surfaces with Small Picard Number ⋮ Optimal and maximal singular curves ⋮ A Chabauty-Coleman bound for surfaces ⋮ Construction of rational surfaces yielding good codes ⋮ Differential approach for the study of duals of algebraic-geometric codes on surfaces ⋮ An upper bound on the number of rational points of arbitrary projective varieties over finite fields ⋮ The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces

Cites Work

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• The number of points on a singular curve over a finite field
• Divisibility of zeta functions of curves in a covering
• Coverings of singular curves over finite fields
• Weil bounds for singular curves
• Zeros and poles of Artin L-series

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