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

Kim, Hyeseon   ; Yamamori, Atsushi

Czechoslovak Mathematical Journal, Tome 68 (2018) no. 3, pp. 611-631

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2018.0551-16

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

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