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The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains. (English) Zbl 1499.32042

Summary: 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.

MSC:

32M18 Automorphism groups of other complex spaces
32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
32Q02 Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds
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