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Holomorphic symmetries

H. Blaine Lawson, Stephen S.-T. Yau (1987)

Annales scientifiques de l'École Normale Supérieure

Killing divisor classes by algebraisation

Alexandru Buium (1985)

Annales de l'institut Fourier

It is proved that any isolated singularity of complete intersection has an algebraisation whose divisor class group is finitely generated.

On deformations of holomorphic foliations

Joan Girbau, Marcel Nicolau (1989)

Annales de l'institut Fourier

Given a non-singular holomorphic foliation on a compact manifold M we analyze the relationship between the versal spaces K and K tr of deformations of as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of parametrized by an analytic space K f isomorphic to π - 1 ( 0 ) × Σ where Σ is smooth and π : K K tr is the forgetful map. The map π is shown to be an epimorphism in two situations: (i) if H 2 ( M , Θ f ) = 0 , where Θ f is the sheaf of...

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