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

Luc Pirio

Université Paris Cité

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Translated title of the contribution	Sur les tissus plans de rang maximal et le problème de Chern
Original language	English
Pages (from-to)	131-136
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	339
Issue number	2
DOIs	https://doi.org/10.1016/j.crma.2004.04.022
Publication status	Published - 15 Jul 2004
Externally published	Yes

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10.1016/j.crma.2004.04.022

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AB - 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.

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DO - 10.1016/j.crma.2004.04.022

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On maximal rank planar webs and Chern's problem

Abstract

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