Coverings of singular curves over finite fields

DOI10.1007/BF02567835zbMath0862.11042OpenAlexW1991663567MaRDI QIDQ1911188

Marc Perret, Yves Aubry

Publication date: 5 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156140

zbMATH Keywords

Weil conjecturesarithmetic genuscoverings of singular curvesestimation of character sums over finite fieldsprojective algebraic curves over a finite field

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24) Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20)

Related Items (9)

Coverings of singular curves over finite fields ⋮ On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields ⋮ Hypersurfaces achieving the Homma-Kim bound ⋮ Optimal and maximal singular curves ⋮ Construction of rational surfaces yielding good codes ⋮ Gauss problem for function fields ⋮ Number of points of curves over finite fields in some relative situations from an Euclidean point of view ⋮ An upper bound on the number of rational points of arbitrary projective varieties over finite fields ⋮ \(L\)-functions of singular curves over finite fields

Cites Work

• Artin-Schreier curves, exponential sums, and the Carlitz-Uchiyama bound for geometric codes
• Coverings of singular curves over finite fields
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