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Classification of singular germs of mappings and deformations of compact surfaces of class VII₀

100%

Dloussky G., Kohler F.

Annales Polonici Mathematici

1998

tom 70

nr 1

49-83

We classify generic germs of contracting holomorphic mappings which factorize through blowing-ups, under the relation of conjugation by invertible germs of mappings. As for Hopf surfaces, this is the key to the study of compact complex surfaces with $b_1=1$ and $b₂ >0$ which contain a global spherical shell. We study automorphisms and deformations and we show that these generic surfaces are endowed with a holomorphic foliation which is unique and stable under any deformation.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Dloussky G.

1 Kohler F.

1 1998

Wyniki wyszukiwania

Classification of singular germs of mappings and deformations of compact surfaces of class VII₀