In this work we prove a Baum-Bott type formula for noncompact complex manifold of the form X = X - D, where X is a complex compact manifold and D is a normal crossing divisor on X. As applications, we provide a Poincaré-Hopf type theorem and an optimal description for a smooth hypersurface D invariant by an one-dimensional foliation F on P n satisfying Sing(F) ⊂ D.
Residue formulas for logarithmic foliations and applications
MAURICIO BARROS CORREA JUNIOR
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2019-01-01
Abstract
In this work we prove a Baum-Bott type formula for noncompact complex manifold of the form X = X - D, where X is a complex compact manifold and D is a normal crossing divisor on X. As applications, we provide a Poincaré-Hopf type theorem and an optimal description for a smooth hypersurface D invariant by an one-dimensional foliation F on P n satisfying Sing(F) ⊂ D.File in questo prodotto:
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