Galois theory and projective geometry

2011/12/20 by Fedor Bogomolov, Yuri Tschinkel, Bogomolov, Fedor +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1112.4634

openalex publication_date 2011/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture.

Related

• On the "Section Conjecture" in anabelian geometry
• Introduction to birational anabelian geometry
• Birational p-adic Galois sections in higher dimensions
• Geometric Invariant Theory and Birational Geometry
• On the birational anabelian section conjecture