Holomorphic foliations in ruled surfaces

Author:

Gómez-Mont Xavier

Abstract

We analyse the universal families of holomorphic foliations with singularities in a ruled surface. In terms of Chern classes we determine the general and the special families. We also classify all nonsingular foliations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Vector bundles over an elliptic curve;Atiyah, M. F.;Proc. London Math. Soc. (3),1957

2. D. Birkoff, The generalized Riemann problem for linear differential equations, Proc. Amer. Acad. Arts Sci. 49 (1913), 521-568.

3. Totally geodesic foliations on 4-manifolds;Cairns, Grant;J. Differential Geom.,1986

4. Meromorphic vector fields and characteristic numbers;Chern, Shiing Shen;Scripta Math.,1973

5. Universal families of foliations by curves;Gómez-Mont, Xavier;Ast\'{e}risque,1987

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1. Foliated affine and projective structures;Compositio Mathematica;2023-05-15

2. Holomorphic foliations by curves on ℙ 3 with non-isolated singularities;Annales de la Faculté des sciences de Toulouse : Mathématiques;2008-12-02

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