Previous Page 19

Displaying 361 – 378 of 378

Showing per page

Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations

Andreas Höring (2014)

Annales de l’institut Fourier

Let X be a normal projective variety, and let A be an ample Cartier divisor on X . Suppose that X is not the projective space. We prove that the twisted cotangent sheaf Ω X A is generically nef with respect to the polarisation  A . As an application we prove a Kobayashi-Ochiai theorem for foliations: if T X is a foliation such that det i A , then i is at most the rank of .

Twisted matings and equipotential gluings

Xavier Buff, Adam L. Epstein, Sarah Koch (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

One crucial tool for studying postcritically finite rational maps is Thurston’s topological characterization of rational maps. This theorem is proved by iterating a holomorphic endomorphism on a certain Teichmüller space. The graph of this endomorphism covers a correspondence on the level of moduli space. In favorable cases, this correspondence is the graph of a map, which can be used to study matings. We illustrate this by way of example: we study the mating of the basilica with itself.

Un exemple de feuilletage modulaire déduit d’une solution algébrique de l’équation de Painlevé VI

Gaël Cousin (2014)

Annales de l’institut Fourier

On peut construire facilement des exemples de connexions plates de rang 2 sur 2 comme tirés en arrière de connexions sur 1 . On donne un exemple de connexion qui ne peut être obtenue de cette manière. Cet exemple est construit à partir d’une solution algébrique de l’équation de Painlevé VI. On en déduit un feuilletage modulaire. La preuve de ce fait repose sur la classification des feuilletages sur les surfaces projectives par leurs dimensions de Kodaira, fruit du travail de Brunella, McQuillan et...

Une caractérisation des surfaces d'Inoue-Hirzebruch

Karl Oeljeklaus, Matei Toma, Dan Zaffran (2001)

Annales de l’institut Fourier

On montre que parmi les surfaces compactes complexes de classe V I I 0 avec b 2 > 0 , les surfaces d’Inoue-Hirzebruch sont caractérisées par le fait qu’elles possèdent deux champs de vecteurs tordus. Ce résultat est un pas vers la compréhension des feuilletages sur les surfaces V I I 0 .

Uniformization of the leaves of a rational vector field

Alberto Candel, X. Gómez-Mont (1995)

Annales de l'institut Fourier

We study the analytic structure of the leaves of a holomorphic foliation by curves on a compact complex manifold. We show that if every leaf is a hyperbolic surface then they can be simultaneously uniformized in a continuous manner. In case the manifold is complex projective space a sufficient condition is that there are no algebraic leaf.

[unknown]

Takato Uehara (0)

Annales de l’institut Fourier

[unknown]

Sébastien Alvarez, Nicolas Hussenot (0)

Annales de l’institut Fourier

[unknown]

Matthias Leuenberger (0)

Annales de l’institut Fourier

Vector fields from locally invertible polynomial maps in ℂⁿ

Alvaro Bustinduy, Luis Giraldo, Jesús Muciño-Raymundo (2015)

Colloquium Mathematicae

Let (F₁,..., Fₙ): ℂⁿ → ℂⁿ be a locally invertible polynomial map. We consider the canonical pull-back vector fields under this map, denoted by ∂/∂F₁,...,∂/∂Fₙ. Our main result is the following: if n-1 of the vector fields / F j have complete holomorphic flows along the typical fibers of the submersion ( F , . . . , F j - 1 , F j + 1 , . . . , F ) , then the inverse map exists. Several equivalent versions of this main hypothesis are given.

Vector fields, invariant varieties and linear systems

Jorge Vitório Pereira (2001)

Annales de l’institut Fourier

We investigate the interplay between invariant varieties of vector fields and the inflection locus of linear systems with respect to the vector field. Among the consequences of such investigation we obtain a computational criterion for the existence of rational first integrals of a given degree, bounds for the number of first integrals on families of vector fields, and a generalization of Darboux's criteria. We also provide a new proof of Gomez--Mont's result on foliations...

Virtually repelling fixed point.

Xavier Buff (2003)

Publicacions Matemàtiques

In this article, we study the notion oí virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f: U -> V with U contained in V have at least one virtually repelling fixed point.

Currently displaying 361 – 378 of 378

Previous Page 19