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Displaying 61 – 80 of 322

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Complements of analytic subvarieties and q-complete spaces

Edoardo Ballico (1981)

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

Si dimostra che il complementare X Y di un sottospazio analitico chiuso localmente intersezione completa di codimensione q di una varietà di Stein è q -completo.

Completeness of the inner kth Reiffen pseudometric

Paweł Zapałowski (2002)

Annales Polonici Mathematici

We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.

Complex geodesics of the minimal ball in n

Peter Pflug, El Hassan Youssfi (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this note we give a characterization of the complex geodesics of the minimal ball in n . This answers a question posed by Jarnicki and Pflug (cf. [JP], Example 8.3.10)

Concave domains with trivial biholomorphic invariants

Witold Jarnicki, Nikolai Nikolov (2002)

Annales Polonici Mathematici

It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.

Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group

Do Duc Thai, Dinh Huy Hoang (1999)

Annales Polonici Mathematici

We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection π 1 : V Γ is finite and proper, then R V : O ( Γ × G ) I m R V O ( V ) has a right inverse

Currently displaying 61 – 80 of 322