Capitulation problem for global function fields

DOI10.1007/s00013-011-0326-2zbMath1281.11097OpenAlexW2062805909MaRDI QIDQ652228

Yan Li, Su Hu

Publication date: 14 December 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0326-2

zbMATH Keywords

Hilbert class fieldgenus fieldideal class groupquadratic function fieldcapitulation problem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Power residues, reciprocity (11A15)

Related Items (2)

Twists of elliptic curves ⋮ GENUS FIELDS OF CYCLIC l-EXTENSIONS OF RATIONAL FUNCTION FIELDS

Cites Work

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• A note on a recent paper of Iwasawa on the capitulation problem
• A note on capitulation problem for number fields. I, II
• \(\ell\)-class groups of cyclic function fields of degree \(\ell\)
• The genus fields of Artin-Schreier extensions
• The Hilbert class field in function fields
• Genus theory of global fields
• The genus fields of Kummer function fields.
• A generalization of a result of Iwasawa on the capitulation problem
• On the Norms of Units in Quadratic Fields

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