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 ℤ
2001
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
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].
Iannuzzi, A; De Fabritiis, C
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/92048
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact