Transverse deformations of holomorphic foliations. (English) Zbl 0607.32014

Algebraic geometry, Proc. Lefschetz Centen. Conf., Mexico City/Mex. 1984, Pt. I, Contemp. Math. 58, 127-139 (1986).
[For the entire collection see Zbl 0588.00015.]
The following moduli problem is studied. Given a holomorphic foliation in a compact complex manifold M, the author determines the number of complex structures which are compatible with the transversal structure of the foliation. As a result the author proves that the moduli depend only on the cohomology of the tangent bundle to the foliation. The paper concludes with an application to ruled surfaces.
Reviewer: M.Schottenloher


32G05 Deformations of complex structures
32G13 Complex-analytic moduli problems
14D20 Algebraic moduli problems, moduli of vector bundles


Zbl 0588.00015