Publications Mathématiques de Besançon

Algèbre et Théorie des Nombres
Introduction to Mono-anabelian Geometry
[Introduction à la géométrie mono-anabélienne]
Yuichiro Hoshi1
1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, JAPAN
Publications mathématiques de Besançon. Algèbre et théorie des nombres (2021), pp. 5-44.

Cet article est basé sur les 4 heures de mini-cours « Introduction to Mono-anabelian Geometry » que l’auteur a données lors de la conférence « Fundamental Groups in Arithmetic Geometry » (Paris, 2016). L’objectif est de présenter la géométrie mono-anabélienne en se concentrant sur les corps locaux de caractéristique mixte ce qui permet de fournir des exemples élémentaires mais non-triviaux du type d’arguments présents dans l’étude de géométrie mono-anabélienne.

The present article is based on the four hours mini-courses “Introduction to Mono-anabelian Geometry” which the author gave at the conference “Fundamental Groups in Arithmetic Geometry” (Paris, 2016). The purpose of the present article is to introduce mono-anabelian geometry by focusing on mono-anabelian geometry for mixed-characteristic local fields, which provides elementary but nontrivial examples of typical arguments in the study of mono-anabelian geometry.

Reçu le :
Publié le :
DOI : 10.5802/pmb.42
Classification : 11S20
Mots clés : mono-anabelian geometry, MLF, mono-anabelian reconstruction algorithm, MLF-pair, cyclotomic synchronization, Kummer poly-isomorphism, mono-anabelian transport
Yuichiro Hoshi 1

1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, JAPAN
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Yuichiro Hoshi. Introduction to Mono-anabelian Geometry. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2021), pp. 5-44. doi : 10.5802/pmb.42. https://pmb.centre-mersenne.org/articles/10.5802/pmb.42/

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