The index of elliptic units in $\boldsymbol{Z}_p$-extensions, II
Oukhaba, Hassan
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 253-265 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  11G16,  11R23 
@article{1245849447,
     author = {Oukhaba, Hassan},
     title = {The index of elliptic units in $\boldsymbol{Z}\_p$-extensions, II},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 253-265},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245849447}
}

Oukhaba, Hassan. The index of elliptic units in $\boldsymbol{Z}_p$-extensions, II. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  253-265. http://gdmltest.u-ga.fr/item/1245849447/