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arxiv: 1305.2175 · v3 · pith:KCTUIIROnew · submitted 2013-05-09 · 🧮 math.DS · math.AG

Transversely affine foliations on projective manifolds

classification 🧮 math.DS math.AG
keywords affinefoliationsmanifoldsprojectivetransverselybetticodimensionconnections
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We describe the structure of singular transversely affine foliations of codimension one on projective manifolds X with zero first Betti number. Our result can be rephrased as a theorem on rank two reducible flat meromorphic connections.

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