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

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

2005-08-04

arxiv.org/abs/math/0508095v1

Mathematics

Differential Geometry

Scientific paper

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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