Non-hyperbolic unbounded Reinhardt domains: non-compact automorphism group, Cartan's linearity theorem and explicit Bergman kernel (Q2403046)

In several complex variables, complex domains which are bounded or hyperbolic are fundamental research objects. For unbounded non-hyperbolic cases, only few results are known about the structure of the holomorphic automorphism groups. The main result of the paper under review gives a class of unbounded non-hyperbolic Reinhardt domains with non-compact automorphism groups, Cartan's linearity theorem, and explicit Bergman kernels. Moreover, a reformulation of Cartan's linearity theorem for finite volume Reinhardt domains is given.