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On the capitulation in the genus field of an abelian extension of an imaginary quadratic field

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Publication:1590282
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DOI10.1006/jnth.2000.2550zbMath1081.11514OpenAlexW2020459661MaRDI QIDQ1590282

Caroline Thiébaud

Publication date: 1 January 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2550



Mathematics Subject Classification ID

Class field theory (11R37)


Related Items (2)

Idéaux ambiges dans les corps de fonctions. (Ambiguous ideals in function fields) ⋮ Capitulation, ambiguous classes and the cohomology of the units



Cites Work

  • Unnamed Item
  • Zur expliziten Berechnung von Ganzheitsbasen in Strahlklassenkörpern über einem imaginär-quadratischen Zahlkörper. (On the explicit calculation of integral bases in ray class fields over an imaginary quadratic number field)
  • Principal ideal theorems in the genus field for absolutely abelian extensions
  • An elliptic resolvent
  • Some applications of Kronecker's limit formulas
  • Konstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.


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