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math.NT2024
On capitulation of logarithmic classes
Jean-François Jaulent
We establish a logarithmic version of the classical result of Artin-Furw{ä}ngler on the principalization ofideal classes in the Hilbert class-field by applying the group theoretic…
math.NT2024
Imaginary logarithmic classes of abelian number fields
Jean-François Jaulent
We are interested in classical and logarithmic imaginary classes of abelian number fields in connection with Iwasawa theory. For any given odd prime and any imaginary abel…