On maximal rank planar webs and Chern's problem

Luc Pirio

doi:10.1016/j.crma.2004.04.022

On maximal rank planar webs and Chern's problem

Titre traduit de la contribution: Sur les tissus plans de rang maximal et le problème de Chern

Luc Pirio

Université Paris Cité

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

7 Citations (Scopus)

Résumé

We explain how it is possible to obtain the necessary conditions onfunctions defining a germ of planar web in order that it be of maximal rank. Then we apply this method to the study of maximalrank 5-webs.We show the existence of many exceptional 5-webs non-equivalent to Bol's web, thus giving an answer to Chern's problem.

Titre traduit de la contribution	Sur les tissus plans de rang maximal et le problème de Chern
langue originale	Anglais
Pages (de - à)	131-136
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	339
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/j.crma.2004.04.022
état	Publié - 15 juil. 2004
Modification externe	Oui

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10.1016/j.crma.2004.04.022

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On maximal rank planar webs and Chern's problem

Résumé

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