Gross’ conjecture for extensions ramified over four points of ℙ1

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Abstract

In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.

Original languageEnglish
Pages (from-to)183-201
Number of pages19
JournalJournal de Theorie des Nombres de Bordeaux
Volume18
Issue number1
DOIs
Publication statusPublished - 2006

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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