Vector field construction of Segre sets
Merker, Joel
HAL, hal-00003411 / Harvested from HAL
Text on HAL
A CR generic real analytic CR manifold M carries two families of Segre varieties and conjugate Segre varieties. We observe in this article that their complexifications give rise to two families of foliations of the complexification of M which coincide with the flow foliations induced by the complexified CR (1,0) and (0,1) vector fields tangent to M. As an application, we derive a new proof of the characterization of finite type in terms of Segre sets.
Publié le : 1998-07-05
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00003411,
     author = {Merker, Joel},
     title = {Vector field construction of Segre sets},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003411}
}

Merker, Joel. Vector field construction of Segre sets. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003411/