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Sur l'algébrisation des tissus, le théorème de Bol en toute dimension >2

Jean-Marie Trépreau
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Abstract

We prove that a d-web near a point in n-space, where n is greater than 2 and d is greater than 2n-1, is equivalent to an algebraic web, if it has maximal rank or, more generally, if it has (2d - 3n + 1) abelian relations the 1-jets of which are linearly independent. In case n=3, this is a theorem of Bol. The general case answers a question of Chern and Griffiths.

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Jean-Marie Trépreau. 2005-08-04. Sur l'algébrisation des tissus, le théorème de Bol en toute dimension >2. https://arxiv.org/abs/math/0508095

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