All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 25

Showing per page

Decay of volumes under iteration of meromorphic mappings

Vincent Guedj (2004)

Annales de l'Institut Fourier

Let f be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of f . We use these volume estimates to construct the Green current of f in a quite general setting.

Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1

Jun-Muk Hwang (2007)

Annales de l’institut Fourier

Let X be a Fano manifold with b 2 = 1 different from the projective space such that any two surfaces in X have proportional fundamental classes in H 4 ( X , C ) . Let f : Y → X be a surjective holomorphic map from a projective variety Y . We show that all deformations of f with Y and X fixed, come from automorphisms of X . The proof is obtained by studying the geometry of the integral varieties of the multi-valued foliation defined by the variety of minimal rational tangents of X .

Degeneracy of holomorphic maps via orbifolds

Erwan Rousseau (2012)

Bulletin de la Société Mathématique de France

We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singular pairs. In particular, we give applications on nodal surfaces and complements of singular plane curves.

Descriptions of exceptional sets in the circles for functions from the Bergman space

Piotr Jakóbczak (1997)

Czechoslovak Mathematical Journal

Let D be a domain in ℂ 2 . For w ∈ ℂ , let D w = { z ∈ ℂ ∣ ( z , w ) ∈ D } . If f is a holomorphic and square-integrable function in D , then the set E ( D , f ) of all w such that f ( . , w ) is not square-integrable in D w is of measure zero. We call this set the exceptional set for f . In this note we prove that for every 0 < r < 1 ,and every G δ -subset E of the circle C ( 0 , r ) = { z ∈ ℂ ∣ | z | = r } ,there exists a holomorphic square-integrable function f in the unit ball B in ℂ 2 such that E ( B , f ) = E .

Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball

Ze-Hua Zhou, Yu-Xia Liang (2012)

Czechoslovak Mathematical Journal

In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of ℂ N , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators....

Diffusion to infinity for periodic orbits in meromorphic dynamics

Janina Kotus, Grzegorz Świątek (2002)

Fundamenta Mathematicae

A small perturbation of a rational function causes only a small perturbation of its periodic orbits. We show that the situation is different for transcendental maps. Namely, orbits may escape to infinity under small perturbations of parameters. We show examples where this "diffusion to infinity" occurs and prove certain conditions under which it does not.

Distribution des préimages et des points périodiques d’une correspondance polynomiale

Tien-Cuong Dinh (2005)

Bulletin de la Société Mathématique de France

Nous construisons pour toute correspondance polynomiale F d’exposant de Lojasiewicz ℓ &gt; 1 une mesure d’équilibre μ . Nous montrons que μ est approximable par les préimages d’un point générique et que les points périodiques répulsifs sont équidistribués sur le support de μ . En utilisant ces résultats, nous donnons une caractérisation des ensembles d’unicité pour les polynômes.

Currently displaying 1 – 20 of 25

Page 1 Next