On multi-Frobenius non-classical plane curves

DOI10.1007/s00013-009-0056-xzbMath1236.11057OpenAlexW2018326997MaRDI QIDQ1047895

Herivelto Borges

Publication date: 8 January 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0056-x

zbMATH Keywords

finite fieldAlgebraic curveFrobenius non-classical plane curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (11)

Bounds for the number of points on curves over finite fields ⋮ On the Dickson-Guralnick-Zieve curve ⋮ Points on singular Frobenius nonclassical curves ⋮ Separable degree of the Gauss map and strict dual curves over finite fields ⋮ Number of rational branches of a singular plane curve over a finite field ⋮ Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree ⋮ Duality for certain multi-Frobenius nonclassical curves in higher dimensional spaces ⋮ Galois points for double-Frobenius nonclassical curves ⋮ Frobenius nonclassical components of curves with separated variables ⋮ MRD codes with maximum idealizers ⋮ Asymptotics of Moore exponent sets

Uses Software

• manYPoints

Cites Work

• Frobenius non classical curves
• Curves of genus 3 over small finite fields
• On complete arcs arising from plane curves
• On complete \((N,d)\)-arcs derived from plane curves
• On the Number of Solutions of an Equation Over a Finite Field
• Weierstrass Points and Curves Over Finite Fields
• Tables of curves with many points

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