Topics in the Grothendieck conjecture for hyperbolic polycurves of dimension \(2\)

arXiv1902.02058MaRDI QIDQ6195972

Ippei Nagamachi

Publication date: 14 March 2024

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02058

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Cites Work

• Finiteness of the moderate rational points of once-punctured elliptic curves
• Anabelian geometry with étale homotopy types
• Existence of nongeometric pro-\(p\) Galois sections of hyperbolic curves
• Pro-\(p\) Grothendieck conjecture for hyperbolic polycurves
• The local pro-p anabelian geometry of curves
• Galois Sections in Absolute Anabelian Geometry
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