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Let F be a codimension one holomorphic foliation whose singular set Σ is contained in a compact leaf S of F.
When F is of dimension one, Σ is a set of isolated points {q1, ..., qr}, C. Camacho and P. Sad define the index of F at each point qk and prove that the sum of these indices equals the Euler class c1(E) of the fibre bundle E normal to S.
Generally, whenever Σ is of any dimension m, we can...
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