Add to ORKGin the fundamental group of a p-adic curve — On the p-adic section conjecture for curves — FLORIAN POP AND JAKOB STIX Abstract — 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 decompo-sition subgroup of a valuation which prolongs the p-adic valuation to the function field of the curve. 1
In a letter from Grothendieck to Faltings, it was suggested that a positive answer to the section co...
Abstract. In this manuscript we introduce/prove a Z/p meta-abelian form of the bira-tional p-adic Se...
Journal ArticleThe final publication is available at Springer via http://dx.doi.org/10.1007/s00209-0...
The $p$-adic section conjecture predicts that for a smooth, proper, hyperbolic curve $X$ over a $p$-...
Abstract — Period and index of a curve X/K over a p-adic local field K such that the fundamental gro...
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a...
Let X be a smooth projective curve of genus >1 over a field K which is finitely generated over th...
In this thesis we investigate the problem of recovering arithmetic structure on a field F from small...
In this thesis we investigate the problem of recovering arithmetic structure on a field F from small...
This is the author accepted manuscript.We investigate sections of the arithmetic fundamental group π...
This is the author accepted manuscript.We investigate sections of the arithmetic fundamental group π...
We formulate a tropical analogue of Grothendieck's section conjecture: that for every stable graph G...
The birational variant of Grothendieck's section conjecture proposes a characterisation of the ratio...
One of the strong motivations for studying the arithmetic fundamental groups of algebraic varieties ...
International audienceWe prove that the arithmetic fundamental group of X admits no section over the...
In a letter from Grothendieck to Faltings, it was suggested that a positive answer to the section co...
Abstract. In this manuscript we introduce/prove a Z/p meta-abelian form of the bira-tional p-adic Se...
Journal ArticleThe final publication is available at Springer via http://dx.doi.org/10.1007/s00209-0...
The $p$-adic section conjecture predicts that for a smooth, proper, hyperbolic curve $X$ over a $p$-...
Abstract — Period and index of a curve X/K over a p-adic local field K such that the fundamental gro...
The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a...
Let X be a smooth projective curve of genus >1 over a field K which is finitely generated over th...
In this thesis we investigate the problem of recovering arithmetic structure on a field F from small...
In this thesis we investigate the problem of recovering arithmetic structure on a field F from small...
This is the author accepted manuscript.We investigate sections of the arithmetic fundamental group π...
This is the author accepted manuscript.We investigate sections of the arithmetic fundamental group π...
We formulate a tropical analogue of Grothendieck's section conjecture: that for every stable graph G...
The birational variant of Grothendieck's section conjecture proposes a characterisation of the ratio...
One of the strong motivations for studying the arithmetic fundamental groups of algebraic varieties ...
International audienceWe prove that the arithmetic fundamental group of X admits no section over the...
In a letter from Grothendieck to Faltings, it was suggested that a positive answer to the section co...
Abstract. In this manuscript we introduce/prove a Z/p meta-abelian form of the bira-tional p-adic Se...
Journal ArticleThe final publication is available at Springer via http://dx.doi.org/10.1007/s00209-0...