Results 21 to 30 of about 7,311 (162)
Foliations on hypersurfaces in holomorphic symplectic manifolds [PDF]
International Mathematics Research Notices, 2008 43 pages, 3 ...
Justin Sawon
openalex +5 more sources
Holomorphic Foliations in Ruled Surfaces [PDF]
Transactions of the American Mathematical Society, 1989 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.
openaire +1 more source
On the geometry of Poincaré's problem for one-dimensional projective foliations
Anais da Academia Brasileira de Ciências, 2001 We consider the question of relating extrinsic geometric characters of a smooth irreducible complex projective variety, which is invariant by a one-dimensional holomorphic foliation on a complex projective space, to geometric objects associated to the ...
MARCIO G. SOARES
doaj +1 more source
On Characteristic Forms of Holomorphic Foliations [PDF]
Tokyo Journal of Mathematics, 1999 Let \(M\) be a complex manifold of dimension \(n\geq 2\) and let \({\mathcal F}\) be a holomorphic foliation of codimension \(q\geq 1\) on \(M\). The normal bundle of \({\mathcal F}\) is denoted by \(\nu({\mathcal F})\). There always exists a \(C^{\infty}\) affine connection \(a=\{a_{\alpha}\}\) of \(\nu({\mathcal F})\), by which the authors define the
KAMOZAWA, Yoshikatsu, KATO, Masahide
openaire +3 more sources
SOME OBSERVATIONS ON THE CONCEPT OF ANALYTIC FOLIATION
Pesquimat, 2014 In the first part of this paper we give three definitions equivalent of theconcept of k-dimensional foliation on a complex analytic manifold. Below, we provideone quarter equivalent definition for foliations of dimension one, using the concept of ...
Renato Mario Benazic Tomé
doaj +1 more source
Strongly fillable contact manifolds and J-holomorphic foliations [PDF]
Duke Mathematical Journal, 2010 44 pages, 2 figures; v.3 has a few significant improvements to the main results: We now classify all strong fillings and exact fillings of T^3 (without assuming Stein), and also show that a planar contact manifold is strongly fillable if and only if all its planar open books have monodromy generated by right-handed Dehn twists.
Chris Wendl
openalex +5 more sources
Holomorphic foliations tangent to Levi-flat subsets [PDF]
The Journal of Geometric Analysis, 2017 19 pages, 1 ...
Jane Bretas +2 more
openalex +4 more sources
Rational endomorphisms of codimension one holomorphic foliations
Journal für die reine und angewandte Mathematik (Crelles Journal), 2022 Abstract We study dominant rational maps preserving singular holomorphic codimension one foliations on projective manifolds and that exhibit non-trivial transverse dynamics.
Lo Bianco, Federico +3 more
openaire +5 more sources
On the existence of Levi Foliations
Anais da Academia Brasileira de Ciências, 2001 Let L be a real 3 dimensional analytic variety. For each regular point p L there exists a unique complex line l p on the space tangent to L at p. When the field of complex line p l p is completely integrable, we say that L is Levi variety.
RENATA N. OSTWALD
doaj +1 more source
Automorphisms and non-integrability
Anais da Academia Brasileira de Ciências, 2005 On this note we prove that a holomorphic foliation of the projective plane with rich, but finite, automorphism group does not have invariant algebraic curves.Seja {mathcal F} uma folheação do plano projetivo complexo de grau d com grupo de automorfismo ...
Jorge V. Pereira, Percy F. Sánchez
doaj +1 more source