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
Iannuzzi, A., De Fabritiis, C. (2001). Quotients of the unit ball of $\C^n$ for a free action of $\Z$. JOURNAL D'ANALYSE MATHEMATIQUE, 85, 213-224 [10.1007/BF02788081].
Quotients of the unit ball of $\C^n$ for a free action of $\Z$
IANNUZZI, ANDREA;
2001-01-01
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 ℤFile in questo prodotto:
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