The effective Bogomolov problem over abelian varieties (Q990327)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The effective Bogomolov problem over abelian varieties |
scientific article |
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The effective Bogomolov problem over abelian varieties (English)
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7 September 2010
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In this paper the author gives a new lower bound for the essential minimum of subvarieties of abelian varieties with small codimension, under a conjecture about ordinary primes in abelian varieties. This lower bound is known in the toric case through the work of \textit{F. Amoroso} and \textit{S. David} [J. Inst. Math. Jussieu 2, 335--381 (2003; Zbl 1041.11048)] and it is best ``up to an \(\varepsilon \)'' in the degree of the subvariety.
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Bogomolov problem
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abelian variety
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lower bound
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height
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