Determining irreducibility and ramification groups for an additive extension of the rational function field.

DOI10.1016/S0022-314X(02)00012-4zbMath1036.11060MaRDI QIDQ1867440

Vinay Deolalikar

Publication date: 2 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

ramification groupsirreducibilityadditive polynomialfunction fields with many rational places

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20)

Related Items (7)

Wild tame-by-cyclic extensions ⋮ Generalized Hermitian codes ⋮ A new family of Castle and Frobenius nonclassical curves ⋮ Algebraic Geometry Codes from Castle Curves ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve ⋮ Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\) ⋮ Explicitly constructed extensions of the rational function field with prescribed splitting

Cites Work

• Algebraic function fields and codes
• A class of polynomials over finite fields
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. I: Eine Abschätzung der Ordnung der Automorphismengruppe
• EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES
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