EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES

DOI10.1081/AGB-120003983zbMath1027.11044arXivmath/0010194MaRDI QIDQ4552419

Vinay Deolalikar

Publication date: 3 September 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010194

zbMATH Keywords

Polynomials over finite fieldsCurves over finite fields with many rational points

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (3)

Abelian p-extensions and additive polynomials ⋮ Determining irreducibility and ramification groups for an additive extension of the rational function field. ⋮ 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
• Unnamed Item

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