Abstract
LetB n be the unit ball of ℂn and ℤ ≅ Γ ⊂ AutB n be generated by a parabolic element of AutB n. We show that the quotientB n/Γ is biholomorphic to a holomorphically convex domain of ℂn, whose automorphism group is explicity described. It follows thatB n/ℤ is Stein for any free action of ℤ.
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Investigation partially supported by University of Bologna. Funds for selected research topics.
The second author was supported by an Instituto Nazionale di Alta Matematica grant.
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de Fabritiis, C., Iannuzzi, A. Quotients of the unit ball of ℂn for a free action of ℤ. J. Anal. Math. 85, 213–224 (2001). https://doi.org/10.1007/BF02788081
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DOI: https://doi.org/10.1007/BF02788081