Cohen-Lenstra heuristics and the Spiegelungssatz: function fields

DOI10.1016/j.jnt.2004.01.001zbMath1049.11121OpenAlexW2029476171MaRDI QIDQ1434318

Yoon-Jin Lee

Publication date: 4 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.01.001

zbMATH Keywords

class groupsSpiegelungssatzCohen-Lenstra heuristicscyclic function field

Mathematics Subject Classification ID

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

Related Items (5)

Reflection theorem for divisor class groups of relative quadratic function fields ⋮ Construction of hyperelliptic function fields of high three-rank ⋮ The Scholz theorem in function fields ⋮ On unit signatures and narrow class groups of odd degree abelian number fields ⋮ Computing quadratic function fields with high 3-rank via cubic field tabulation

Cites Work

• The Hilbert class field in function fields
• \(S\)-units and \(S\)-class group in algebraic function fields
• Zur Struktur der l-Klassengruppe galoisscher Zahlkörper.
• Cohen-Lenstra heuristics and the Spiegelungssatz: number fields
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