Homomorphisms of multiplicative groups of fields preserving algebraic dependence

2017/09/02 by Fedor Bogomolov, Bogomolov, Fedor, M. Rovinsky +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1709.00639

openalex publication_date 2017/09/02 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

Abstract

We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.

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