Ordinary holomorphic webs of codimension one
| dc.creator | Cavalier, Vincent | |
| dc.creator | Lehmann, Daniel | |
| dc.date | 2007-03-20 | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:09:14Z | |
| dc.date.available | 2026-07-07T10:09:14Z | |
| dc.description | The main change with respect to the previous version is a change of terminology : we call "ordinary" the webs previously called "regular". A holomorphic $d$-web of codimension one in dimension $n$ is "ordinary", if it satisfies to some condition of genericity. In dimension at least 3, any such web has a rank bounded from above by a number $π'(n,d)$ strictly smaller than the bound $π(n,d)$ of castelnuovo. This bound $π'(n,d)$ is optimal. Moreover, for some $d$'s, the abelian relations are sections with vanishing covariant derivative of some bundle with a connection, the curvature of which generalizes the Blaschke curvature. In dimension 2, we recover results of Hénaut and Pantazi | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703596 | |
| dc.identifier | http://arxiv.org/abs/math/0703596 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171258 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 57R25, 58A20 | |
| dc.title | Ordinary holomorphic webs of codimension one | |
| dc.type | text |