Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
type: Item
instance of: scholarly article
title: Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
zbMATH Open document ID: 0638.14026
DOI: 10.1007/BF01394276
author: Marc Hindry
published in: Inventiones Mathematicae
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143637
review text: We study a conjecture of Serge Lang describing the intersection of an algebraic subvariety of an algebraic group \(G\) with a subgroup \(\Gamma\) of finite rank in \(G({\mathbb{C}})\). We prove the conjecture when \(\Gamma\) is the torsion subgroup of \(G\), extending previous result of Raynaud (case when \(G\) is an abelian variety) and Laurent (case when \(G\) is a linear torus). The method gives explicit results in terms of some Galois theoretic constant. We also prove some results and formulate some remarks on the general conjecture.
Mathematics Subject Classification ID: 14L10
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 4040085
zbMATH Keywords: intersection with a subgroup
zbMATH Keywords: algebraic subvariety of an algebraic group
Wikidata QID: Q122872982
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4040085