Idéaux ambiges dans les corps de fonctions. (Ambiguous ideals in function fields)

DOI10.1016/S0022-314X(02)00102-6zbMath1027.11084MaRDI QIDQ1394919

Vincent Fleckinger, Caroline Thiébaud

Publication date: 25 June 2003

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

zbMATH Keywords

Drinfeld moduleglobal function fieldcapitulationgenus fieldprincipal ideal theoremambiguous ideal

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60)

Related Items (1)

Capitulation, ambiguous classes and the cohomology of the units

Cites Work

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• The Hilbert class field in function fields
• The class number of cyclotomic function fields
• Units and class groups in cyclotomic function fields
• Principal ideal theorems in the genus field for absolutely abelian extensions
• Ambiguous divisor classes in function fields
• Genus theory of global fields
• On the capitulation in the genus field of an abelian extension of an imaginary quadratic field
• \(S\)-units and \(S\)-class group in algebraic function fields
• On a generalization of the principal ideal theorem
• Explicit Class Field Theory for Rational Function Fields
• Ray class fields of global function fields with many rational places

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