Optimal and maximal singular curves

DOI10.1090/conm/686/13776zbMath1372.14020arXiv1510.01853OpenAlexW4299996450MaRDI QIDQ5346818

Yves Aubry, Annamaria Iezzi

Publication date: 29 May 2017

Published in: Arithmetic, Geometry, Cryptography and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01853

zbMATH Keywords

finite fieldrational pointmaximal curvessingular curves

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Singularities of curves, local rings (14H20)

Cites Work

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• On maximal curves
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• Divisibility of zeta functions of curves in a covering
• The genus of curves over finite fields with many rational points
• Coverings of singular curves over finite fields
• Recursive towers of curves over finite fields using graph theory
• On the maximum number of rational points on singular curves over finite fields
• A characterization of Hermitian function fields over finite fields.
• Rational curves with many rational points over a finite field

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