Recursive towers of curves over finite fields using graph theory

zbMath1364.11116arXiv1212.3465MaRDI QIDQ2801861

Marc Perret, Emmanuel Hallouin

Publication date: 22 April 2016

Full work available at URL: https://arxiv.org/abs/1212.3465

zbMATH Keywords

graphszeta functionstowers of function fieldscurves with many pointscurves over a finite field

Mathematics Subject Classification ID

Paths and cycles (05C38) Rational points (14G05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Singularities of curves, local rings (14H20)

Related Items (5)

A graph aided strategy to produce good recursive towers over finite fields ⋮ Correspondences without a core ⋮ Optimal and maximal singular curves ⋮ On self-correspondences on curves ⋮ Number of points of curves over finite fields in some relative situations from an Euclidean point of view

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