Yoshihiro Ochi, Otmar Venjakob:
On the ranks of Iwasawa modules over p-adic Lie extensions

       Autors: Yoshihiro Ochi, Otmar Venjakob
       Titel:  On the ranks of Iwasawa modules over p-adic Lie extensions
       Jahr: 2001
       Seiten: 19
       In: Mathematical Proceedings of the Cambridge Philosophical Society (2003), 135:25-43
      Cambridge University Press
      Copyright © 2003 Cambridge Philosophical Society
      DOI 10.1017/S0305004102006564
       Preprint-Version

        dvi-file   iwasawamod.dvi

        pdf-file   iwasawamod.pdf

      Abstract: In this paper we study Iwasawa modules arising from Galois cohomology over general p-adic Lie extensions both in the local and global case. In particular we calculate their ranks. Then we apply the results to abelian varieties.

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