Gross’ conjecture for extensions ramified over four points of ℙ1

Po Yi Huang

doi:10.5802/jtnb.539

Gross’ conjecture for extensions ramified over four points of ℙ¹

Po Yi Huang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	183-201
Number of pages	19
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	18
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.539
Publication status	Published - 2006

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.5802/jtnb.539

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title = "Gross{\textquoteright} conjecture for extensions ramified over four points of ℙ1",

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.",

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