Reflection theorem for divisor class groups of relative quadratic function fields

DOI10.1016/j.jnt.2007.08.013zbMath1217.11099OpenAlexW2037320057MaRDI QIDQ958715

Yoon-Jin Lee

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.08.013

zbMATH Keywords

reflection theoremSpiegelungssatzdivisor class groupideal class groupquadratic function fieldrank of divisor class group

Mathematics Subject Classification ID

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

Related Items (1)

Imaginary quadratic function fields with ideal class group of prime exponent

Cites Work

• The Hilbert class field in function fields
• Cohen-Lenstra heuristics and the Spiegelungssatz: function fields
• \(S\)-units and \(S\)-class group in algebraic function fields
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