Stability theorems for holomorphic foliations

Duchamp, T.; Kalka, M.

doi:10.1090/S0002-9947-1980-0570788-X

Stability theorems for holomorphic foliations
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by T. Duchamp and M. Kalka PDF

Trans. Amer. Math. Soc. 260 (1980), 255-266 Request permission

Abstract:

Here we investigate topological stability in the space of holomorphic foliations on a compact manifold. We show that under certain conditions nearby holomorphic foliations are topologically equivalent. We then present examples of foliations which are stable as holomorphic foliations but unstable as smooth foliations.

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