Indivisibility of class numbers of real quadratic function fields

DOI10.1016/j.jpaa.2016.01.002zbMath1414.11147OpenAlexW2287651939MaRDI QIDQ258138

Jungyun Lee, Yoon-Jin Lee

Publication date: 17 March 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.01.002

zbMATH Keywords

class numbersquadratic function fieldsdiscriminants

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
• Notes on an analogue of the Fontaine-Mazur conjecture
• Class number indivisibility for quadratic function fields
• Proof of the existence of infinitely many imaginary quadratic fields whose class number is not divisible by 3
• On class number of quadratic extensions over function fields
• Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
• The distribution of class groups of function fields
• Class Number Divisibility in Real Quadratic Function Fields
• Exponents of Class Groups of Quadratic Function Fields over Finite Fields
• Quadratic function fields whose class numbers are not divisible by three
• Class number divisibility of relative quadratic function fields

This page was built for publication: Indivisibility of class numbers of real quadratic function fields