Galois theory and projective geometry
Fedor Bogomolov, Yuri Tschinkel
TL;DR
This paper investigates the relationship between birational anabelian geometry and abstract projective geometry, providing new insights and a proof related to the birational section conjecture.
Contribution
It establishes a novel connection between birational anabelian geometry and projective geometry, including a proof of a version of the birational section conjecture.
Findings
Proof of a version of the birational section conjecture
New connections between birational anabelian and projective geometry
Advancement in understanding the structure of birational geometry
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology