Generic subgroups of Aut 𝔹 n
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 851-868.

We prove that for a parabolic subgroup Γ of Aut 𝔹 n the fixed points sets of all elements in Γ{ id 𝔹 n } are the same. This result, together with a deep study of the structure of subgroups of Aut 𝔹 n acting freely and properly discontinuously on 𝔹 n , entails a generalization of the so called weak Hurwitz’s theorem: namely that, given a complex manifold X covered by 𝔹 n and such that the group of deck transformations of the covering is “sufficiently generic”, then id X is isolated in Hol (X,X).

Classification : 32A10, 32A40, 32H15, 32A30
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de Fabritiis, Chiara. Generic subgroups of Aut $\mathbb {B}^n$. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 851-868. http://www.numdam.org/item/ASNSP_2002_5_1_4_851_0/

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