Czechoslovak Mathematical Journal, Vol. 68, No. 3, pp. 611-631, 2018


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

Hyeseon Kim, Atsushi Yamamori

Received October 19, 2016.   First published February 16, 2018.

Abstract:  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.
Keywords:  holomorphic automorphism group; Bergman kernel; Reinhardt domain
Classification MSC:  32M05, 32A25, 32A07


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Affiliations:   Hyeseon Kim, Center for Mathematical Challenges, Korea Institute for Advanced Study, 85 Hoegi-ro, Dongdaemun-gu, Seoul 02455, Republic of Korea, e-mail: hop222@gmail.com; Atsushi Yamamori, Academic Support Center, Kogakuin University, Hachioji, Tokyo 192-0015, Japan, e-mail: ats.yamamori@gmail.com


 
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