scientific article; zbMATH DE number 691467

zbMath0849.12002MaRDI QIDQ4314358

Michael D. Fried

Publication date: 11 November 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

inverse Galois problemexceptional polynomialsfiber productsSchur coverscurves of high genusCarlitz's conjecturegeneral exceptional coversmodular curves over finite fieldsmonodromy pairnonsingular projective algebraic curves

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Families, moduli of curves (algebraic) (14H10) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Varieties over global fields (11G35) Varieties over finite and local fields (11G25) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items (6)

Constructing Permutation Rational Functions from Isogenies ⋮ Optimal Encodings to Elliptic Curves of \(\boldsymbol{j}\)-Invariants 0, 1728 ⋮ A note on separated factors of separated polynomials ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Improved elliptic curve hashing and point representation ⋮ The place of exceptional covers among all diophantine relations

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