Characteristic classes of foliations preserved by a transverse k-field.
Grzegorz Andrzejczak (1984)
Banach Center Publications
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Grzegorz Andrzejczak (1984)
Banach Center Publications
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Robert Wolak (1985)
Annales Polonici Mathematici
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Xavier Gomez-Mont (1989)
Annales de l'institut Fourier
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We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Rufus Bowen (1975)
Publications mathématiques et informatique de Rennes
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Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Elmar Vogt (1989)
Publications Mathématiques de l'IHÉS
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Robert A. Wolak (1989)
Publicacions Matemàtiques
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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.
Atsushi Sato, Itiro Tamura (1981)
Publications Mathématiques de l'IHÉS
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Robert A. Blumenthal (1979)
Annales de l'institut Fourier
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A foliation of a manifold is transversely homogeneous if it can be defined by local submersions to a homogeneous space which on overlaps differ by translations. We explore the topology and geometry of such foliations and give a structure theorem for the case when is compact. We investigate the relationship between the structure equations of and the normal bundle of the foliation and provide a differential forms characterization of a large class of homogeneous foliations. As a special...
Xavier Gómez-Mont (1989)
Publicacions Matemàtiques
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The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.
B. Scárdua (2003)
Fundamenta Mathematicae
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We study the group Aut(ℱ) of (self) isomorphisms of a holomorphic foliation ℱ with singularities on a complex manifold. We prove, for instance, that for a polynomial foliation on ℂ² this group consists of algebraic elements provided that the line at infinity ℂP(2)∖ℂ² is not invariant under the foliation. If in addition ℱ is of general type (cf. [20]) then Aut(ℱ) is finite. For a foliation with hyperbolic singularities at infinity, if there is a transcendental automorphism then the foliation...
Hasselblatt, Boris, Wilkinson, Amie (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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