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A remark on complex powers of analytic functions

Giuseppe Zampieri (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Sia $K\subset\subset\mathbb{R}^{n}$ un compatto, $f\geq 0$ una funzione analitica all'intorno di $K$ , ed $m$ la massima molteplicità in $K$ degli zeri di $f$ ; si prova che la potenza $f^{\lambda}$ ( $\lambda\in\mathbb{C}$ , $Re\lambda>—\frac{1}{m}$ ) è integrabile in $K$ . L'estensione meromorfa dell'applicazione $\lambda\rightarrow f^{\lambda}$ da $Re\lambda>0$ a tutto $\mathbb{C}$ (con valori in $\mathcal{D}^{\prime}(K)$ anziché in $L^{1}(K)$ ) era già stata provata in [1] e [2].

A sharp form of Nevanlinna's second main theorem of several complex variables.

Zhuan Ye (1996)

Mathematische Zeitschrift

Addendum to My Paper "Algebraic Values of Meromorphic Maps".

E. Bombieri (1970)

Inventiones mathematicae

Addendum to the paper : “Formal cohomology, analytic cohomology and non-algebraic manifolds”

Siegmund Kosarew, Thomas Peternell (1993)

Compositio Mathematica

Algebraic dimension of twistor spaces and scalar curvature of anti-self-dual metrics.

Massimiliano Pontecorvo (1991)

Mathematische Annalen

Algebraic Values of Meromorphic Maps

E. BOMBIERI (1970)

Inventiones mathematicae

Arithmetische Eigenschaften ganzer Funktionen mehrerer Variablen.

Peter Bundschuh (1980)

Journal für die reine und angewandte Mathematik

Boundary Behavior of Meromorphic Maps.

Giorgio Patrizio (1982)

Mathematische Annalen

Boundary convergence of functions in the meromorphic Nevanlinna class

C. Andrew Neff (1990)

Colloquium Mathematicae

Contribution effective dans le réel

D. Barlet (1985)

Compositio Mathematica

Dependence of meromorphic mappings

Karl Stein (1976)

Annales Polonici Mathematici

Der Kontinuitätssatz für reindimensionale &-affinoide Räume.

Wolfgang BARTENWERFER (1971)

Mathematische Annalen

Dimension algébrique de sous-groupes analytiques de variétés de groupe

Michel Waldschmidt (1975)

Annales de l'institut Fourier

Soient $G$ une variété de groupe définie sur le corps $\overline{Q}$ des nombres algébriques, et $φ : C^{n} \to G_{C}$ un sous-groupe à $n$ paramètres de $G$ , de dimension algébrique $d$ . Nous nous proposons de majorer le rang $ℓ$ (sur $Z$ ) des sous-groupes $Γ$ de $C^{n}$ dont l’image par $φ$ est contenue dans le groupe $G_{\overline{Q}}$ des points algébriques de $G$ .E. Bombieri et S. Lang ont déjà obtenu de telles majorations, en supposant que les points de $Γ$ sont très bien distribués : pour $d \geq n + 1$ , on a $ℓ \leq n^{2} + 3 n$ pour des variétés linéaires, et $ℓ \leq 2 n^{2} + 4 n$ pour des variétés abéliennes .Nous...

We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.

Formal cohomology, analytic cohomology and non-algebraic manifolds

Siegmund Kosarew, Thomas Peternell (1990)

Compositio Mathematica

Currently displaying 1 – 20 of 72

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Displaying 1 – 20 of 72

A remark on complex powers of analytic functions

A sharp form of Nevanlinna's second main theorem of several complex variables.

Addendum to My Paper "Algebraic Values of Meromorphic Maps".

Addendum to the paper : “Formal cohomology, analytic cohomology and non-algebraic manifolds”

Algebraic dimension of twistor spaces and scalar curvature of anti-self-dual metrics.

Algebraic Values of Meromorphic Maps

Arithmetische Eigenschaften ganzer Funktionen mehrerer Variablen.

Boundary Behavior of Meromorphic Maps.

Boundary convergence of functions in the meromorphic Nevanlinna class

Contribution effective dans le réel

Dependence of meromorphic mappings

Der Kontinuitätssatz für reindimensionale &-affinoide Räume.

Dimension algébrique de sous-groupes analytiques de variétés de groupe

Elimination der Unbestimmtheitsstellen meromorpher Funktionen.

Erratum for “Generalized dirichlet series and $B$ -functions”

Estimations du type Nevanlinna pour les applications non dégénérées de $ℂ^{n}$ dans $ℂ^{n}$

Extending Meromorphic Functions on a Grassmannian Variety.

Extending meromorphic functions on ...m x ...n.

Extension theorems of Sakai type for separately holomorphic and meromorphic functions

Formal cohomology, analytic cohomology and non-algebraic manifolds

Currently displaying 1 – 20 of 72