Arithmetic in the fundamental group of a p-adic curve. On the p-adic section conjecture for curves

被引：5

作者：

Pop, Florian ^{[1
]}

Stix, Jakob ^{[2
]}

机构：

[1] Univ Penn, Dept Math, DRL, 209 S 33rd St, Philadelphia, PA 19104 USA

[2] Goethe Univ Frankfurt, Inst Math, Robert Mayer Str 6-8, D-60325 Frankfurt, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2017年 / 725卷

关键词：

GALOIS SECTIONS;

D O I：

10.1515/crelle-2014-0077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a valuative version of Grothendieck's section conjecture for curves over p-adic local fields. The image of every section is contained in the decomposition subgroup of a valuation which prolongs the p-adic valuation to the function field of the curve.

引用

页码：1 / 40

页数：40

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