Diophantine Geometry and Non-abelian Reciprocity Laws I

DOI10.1007/978-3-319-45032-2_9zbMath1414.11154arXiv1312.7019OpenAlexW2963719860MaRDI QIDQ5273375

Minhyong Kim

Publication date: 6 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7019

zbMATH Keywords

class field theorynon-abelian cohomologyDiophantine geometry

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37)

Related Items (3)

Nonabelian reciprocity laws and higher Brauer-Manin obstructions ⋮ Finite descent obstruction and non-abelian reciprocity ⋮ Arithmetic gauge theory: A brief introduction

Cites Work

• The unipotent Albanese map and Selmer varieties for curves
• A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves
• The \(\ell\)-component of the unipotent Albanese map
• The motivic fundamental group of \(\mathbf P^1\setminus\{0,1,\infty\}\) and the theorem of Siegel
• Profinite Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Diophantine Geometry and Non-abelian Reciprocity Laws I