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Une caractérisation géométrique des exemples de Lattès de ℙ k

François Berteloot, Jean-Jacques Loeb (2001)

Bulletin de la Société Mathématique de France

Un exemple de Lattès est un endomorphisme holomorphe de l’espace projectif complexe qui se relève en une dilatation de l’espace affine de même dimension au moyen d’un revêtement ramifié sur les fibres duquel un groupe cristallographique agit transitivement. Nous montrons que tout endomorphisme holomorphe d’un espace projectif complexe dont le courant de Green est lisse et strictement positif sur un ouvert non vide est nécessairement un exemple de Lattès.

Une nouvelle version du théorème d'extension de Hartogs pour les applications séparément holomorphes entre espaces analytiques

O. Alehyane, A. Zeriahi (2001)

Annales Polonici Mathematici

This paper is concerned with the problem of extension of separately holomorphic mappings defined on a "generalized cross" of a product of complex analytic spaces with values in a complex analytic space. The crosses considered here are inscribed in Borel rectangles (of a product of two complex analytic spaces) which are not necessarily open but are non-pluripolar and can be quite small from the topological point of view. Our first main result says that the singular...

Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets

Gerd Dethloff, Tran Van Tan (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of ℂ m into ℂ P n with truncated multiplicities and “few" targets. We also give a theorem of linear degeneration for such maps with truncated multiplicities and moving targets.

Universal reparametrization of a family of cycles : a new approach to meromorphic equivalence relations

David Mathieu (2000)

Annales de l'institut Fourier

We study analytic families of non-compact cycles, and prove there exists an analytic space of finite dimension, which gives a universal reparametrization of such a family, under some assumptions of regularity. Then we prove an analogous statement for meromorphic families of non-compact cycles. That is a new approach to Grauert’s results about meromorphic equivalence relations.

Weak normal and quasinormal families of holomorphic curves

Si Duc Quang, Dau Hong Quan (2018)

Archivum Mathematicum

In this paper we introduce the notion of weak normal and quasinormal families of holomorphic curves from a domain in ℂ into projective spaces. We will prove some criteria for the weak normality and quasinormality of at most a certain order for such families of holomorphic curves.

Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

Yu-Xia Liang, Chang-Jin Wang, Ze-Hua Zhou (2015)

Annales Polonici Mathematici

Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator u C φ on H() is defined by u C φ f ( z ) = u ( z ) f ( φ ( z ) ) . We investigate the boundedness and compactness of u C φ induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.

Currently displaying 421 – 440 of 463