Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Homomorphisms of multiplicative groups of fields preserving algebraic dependence

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

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Bibliographische Detailangaben
Hauptverfasser: Bogomolov, Fedor, Rovinsky, Marat, Tschinkel, Yuri
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung:We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.
DOI:10.48550/arxiv.1709.00639