Galois points and rational functions with small value sets

DOI10.32917/h2022004zbMath1540.14058MaRDI QIDQ6545071

Satoru Fukasawa

Publication date: 29 May 2024

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite fieldrational functionplane curveGalois pointvalue set

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Algebraic function fields and codes
• Frobenius nonclassical components of curves with separated variables
• Galois points for a plane curve in arbitrary characteristic
• Frobenius non classical curves
• Field theory for function fields of plane quartic curves
• An elementary abelian \(p\)-cover of the Hermitian curve with many automorphisms
• Rational functions with small value set
• Polynomials with minimal value sets
• Polynomials over finite fields with minimal value sets
• Weierstrass Points and Curves Over Finite Fields
• Function field theory of plane curves by dual curves.

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