A Bogomolov property for curves modulo algebraic subgroups

2009Bulletin de la Société mathématique de FranceMathematics被引 8开放获取

摘要

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.

引用本文（GB/T 7714）

Philipp Habegger. A Bogomolov property for curves modulo algebraic subgroups[J]. Bulletin de la Société mathématique de France, 2009.

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DOI：https://doi.org/10.24033/bsmf.2570

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