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arxiv: 1810.07295 · v2 · pith:47NMJU7Pnew · submitted 2018-10-16 · 🧮 math.CA · math.CV· math.DS

Palais leaf-space manifolds and surfaces carrying holomorphic flows

classification 🧮 math.CA math.CVmath.DS
keywords fieldsvectorcompleteholomorphicmanifoldssingularitiessomesurfaces
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Starting from some remarkable singularities of holomorphic vector fields, we construct (open) complex surfaces over which the singularities in question are realized by complete vector fields. Our constructions lead to manifolds and vector fields beyond the algebraic setting and provide examples of complete vector fields with some new dynamical phenomena.

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