Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Fedor A. Bogomolov; Marat Rovinsky; Yuri Tschinkel

doi:10.1007/s40879-018-00312-5

Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Fedor A. Bogomolov, Marat Rovinsky, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	656-685
Number of pages	30
Journal	European Journal of Mathematics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s40879-018-00312-5
State	Published - Sep 15 2019

Keywords

Anabelian geometry
Section conjecture
Valuations

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-018-00312-5

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title = "Homomorphisms of multiplicative groups of fields preserving algebraic dependence",

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

keywords = "Anabelian geometry, Section conjecture, Valuations",

author = "Bogomolov, {Fedor A.} and Marat Rovinsky and Yuri Tschinkel",

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doi = "10.1007/s40879-018-00312-5",

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T1 - Homomorphisms of multiplicative groups of fields preserving algebraic dependence

AU - Bogomolov, Fedor A.

AU - Rovinsky, Marat

AU - Tschinkel, Yuri

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N2 - We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.

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

KW - Anabelian geometry

KW - Section conjecture

KW - Valuations

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JF - European Journal of Mathematics

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Homomorphisms of multiplicative groups of fields preserving algebraic dependence

Abstract

Keywords

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