Milnor K₂ and field homomorphisms

2009/02/27 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.0902.4875

openalex publication_date 2009/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the function field of an algebraic variety of dimension greater than 1 over an algebraically closed field of characteristic zero is determined by its first and second Milnor K-groups.

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