منابع مشابه
Dicritical Logarithmic Foliations
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We study some kind of rigidity property for dicritical foliation in C 2 thanks to a new meromorphic function associated to any dicriti-cal foliation playing the role of equation of separatrix. To be more specific, we compute infinitesimal obstructions for realizing the holon-omy pseudo-group of a dicritical foliation F on any source manifold of a blowing-up morphism with same dual tree as the d...
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We consider topological conditions under which a locally invertible map admits a global inverse. Our main theorem states that a local diffeomorphism f : M → R is bijective if and only if Hn−1(M) = 0 and the pre-image of every affine hyperplane is non-empty and acyclic. The proof is based on some geometric constructions involving foliations and tools from intersection theory. This topological re...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2006
ISSN: 0214-1493
DOI: 10.5565/publmat_50106_05