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arxiv: 0811.1818 · v1 · submitted 2008-11-12 · 🧮 math.CV · math.DS

A non-existence theorem for Morse type holomorphic foliations of codimension one transverse to spheres

classification 🧮 math.CV math.DS
keywords codimensionfoliationholomorphicmorsespherestransversetypeaffine
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We prove that a Morse type codimension one holomorphic foliation is not transverse to a sphere in the complex affine space. Also we characterize the variety of contacts of a linear foliation with concentric spheres.

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