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Displaying similar documents to “On the automorphism groups of convex domains in ℂ n .”

The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains

Hyeseon Kim, Atsushi Yamamori (2018)

Czechoslovak Mathematical Journal

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We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.

A Wong-Rosay type theorem for proper holomorphic self-maps

Emmanuel Opshtein (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this short paper, we show that the only proper holomorphic self-maps of bounded domains in ℂ k whose iterates approach a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type theorem for a sequence of maps whose degrees are unbounded.

Trivial generators for nontrivial fibres

Linus Carlsson (2008)

Mathematica Bohemica

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Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in ℂ n where the fibre is nontrivial, has to exceed n . This is shown not to be the case.