A Bogomolov property modulo algebraic subgroups

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A Bogomolov property modulo algebraic subgroups

JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)

ID	3248129
Author(s)	Habegger, Philipp
Author(s) at UniBasel	Habegger, Philipp
Year	2009
Title	A Bogomolov property modulo algebraic subgroups
Journal	Bulletin de la Société mathématique de France
Volume	137
Number	1
Pages / Article-Number	93-125
Keywords	Heights, Bogomolov property, Zilber-Pink Conjecture
Abstract	Generalizing a result of Bombieri, Masser, and Zannier we show that on a curve in the algebraic torus which is not contained in any proper coset only finitely many points are close to an algebraic subgroup of codimension at least 2. The notion of close is defined using the Weil height. We also deduce some cardinality bounds and further finiteness statements.
Publisher	Société mathématique de France
ISSN/ISBN	0037-9484
edoc-URL	http://edoc.unibas.ch/dok/A6438879
Full Text on edoc	No
ISI-Number	WOS:000270063000003
Document type (ISI)	Article

24/04/2024

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