Université de Fribourg

On the leaf spaces of singular holomorphic foliations and multiplicities on leaves

Morel, Denis ; Kaup, Burchard (Dir.) ; Holmann, Harald (Codir.) ; Reiffen, Hans-Jörg (Codir.)

Thèse de doctorat : Université de Fribourg, 2001 ; No 1331.

We study the leaf space X/F of regular or singular holomorphic foliations F on a complex manifold X. Using the theory of analytic cycles, we give certain solutions to the two following problems: First Leaf space problem Find sufficient conditions which imply that the leaf space of a foliation with leaves everywhere admits a canonical complex structure. Second Leaf space Problem What can be done...