On Iwasawa Theory over Function Fields

2007/01/02 by Ka-Lam Kueh, Kueh, Ka-Lam, King Fai Lai +3
Arts and Humanities · Mathematics · #11R42 #11R58 (secondary) #11S40 (primary) #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #French Literature and Criticism #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0701060

openalex publication_date 2007/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k_∞ be a \Z_p^d-extension of a global function field k of characteristic p. Let \Cl_k_∞,p be the p completion of the class group of k_∞. We prove that the characteristic ideal of the Galois module \Cl_k_∞,p is generated by the Stickelberger element of Gross which calculates the special values of L functions.

Citations

• On Z l -Extensions of Algebraic Number Fields

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