On Iwasawa Theory over Function Fields

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dc.creatorKueh, Ka-Lam
dc.creatorLai, King Fai
dc.creatorTan, Ki-Seng
dc.date2007-01-02
dc.date.accessioned2026-07-07T07:39:48Z
dc.date.available2026-07-07T07:39:48Z
dc.descriptionLet $k_{\infty}$ be a $\Z_p^d$-extension of a global function field $k$ of characteristic $p$. Let $\Cl_{k_{\infty},p}$ be the $p$ completion of the class group of $k_{\infty}$. We prove that the characteristic ideal of the Galois module $\Cl_{k_{\infty},p}$ is generated by the Stickelberger element of Gross which calculates the special values of $L$ functions.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0701060
dc.identifierhttp://arxiv.org/abs/math/0701060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121589
dc.subjectNumber Theory
dc.subject11S40 (primary), 11R42, 11R58 (secondary)
dc.titleOn Iwasawa Theory over Function Fields
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