Abstract
In this paper we continue to explore the index of elliptic units. In a previous article we determined the asymptotic behavior in $\boldsymbol{Z}_p$-extensions of the $p$-part of this index divided by the $p$-part of the ideal class number. We proved the existence of an invariant $\mu_\infty$ which governs this behavior, and gave sufficient conditions for the vanishing of $\mu_\infty$. Here we give examples with nonzero $\mu_\infty$, especially in the case of anticyclotomic $\boldsymbol{Z}_p$-extensions.
Citation
Hassan Oukhaba. "The index of elliptic units in $\boldsymbol{Z}_p$-extensions, II." Tohoku Math. J. (2) 61 (2) 253 - 265, 2009. https://doi.org/10.2748/tmj/1245849447
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