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Surfaces of class $$\text{VII}_0$$ and Hénon automorphisms. (Surfaces de la classe $$\text{VII}_0$$ et automorphismes de Hénon.) (French) Zbl 0945.32005
Let $$H:(x,y)\mapsto (x^2+c-ay,x)$$ be the Hénon automorphism of $$\mathbb{C}^2$$ with coefficients $$a,c$$. Compactifying the basin of attraction of $$H$$, the authors construct a surface $$S$$ with Betti numbers $$b_1=1$$, $$b_2=3$$. Moreover they show the existence of a non-trivial holomorphic vector field on $$S$$ when $$a=2$$. This example is quite interesting since the surfaces of the Kodaira class $$\text{VII}_0$$ (i.e. with $$b_1=1)$$ are not yet classified.
Reviewer: P.Mazet (Paris)

##### MSC:
 32J05 Compactification of analytic spaces 32Q57 Classification theorems for complex manifolds
##### Keywords:
Hénon mapping; Kodaira classification
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