Abelian integrals in holomorphic foliations
نویسندگان
چکیده
منابع مشابه
Abelian integrals in holomorphic foliations
The aim of this paper is to introduce the theory of Abelian integrals for holomorphic foliations in a complex manifold of dimension two. We will show the importance of Picard-Lefschetz theory and the classification of relatively exact 1-forms in this theory. As an application we identify some irreducible components of the space of holomorphic foliations of a fixed degree and with a center singu...
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There is a well-known rigidity theorem of Y. Ilyashenko for (singular) holomorphic foliations in CP and also the extension given by Gómez-Mont and Ort́ız-Bobadilla (1989). Here we present a different generalization of the result of Ilyashenko: some cohomological and (generic) dynamical conditions on a foliation F on a fibred complex surface imply the d-rigidity of F , i.e. any topologically triv...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2004
ISSN: 0213-2230
DOI: 10.4171/rmi/385