Petits points et conjecture de Bogomolov |
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Authors: | R zvan Li canu |
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Affiliation: | aUniversitatea “Al. I. Cuza”, Faculty of Mathematics, 700506 Iaşi, Romania |
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Abstract: | This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned. |
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Keywords: | Height Arakelov theory Bogomolov conjecture |
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