Vector fields on manifolds play a major role in mathematics and other sciences. In particular,
the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold …

Discrete Holomorphic Local Dynamical Systems Page 1 Discrete Holomorphic Local
Dynamical Systems Marco Abate Abstract This chapter is a survey on local dynamics of …

We first study the dynamics of the geodesic flow of a meromorphic connection on a Riemann
surface, and prove a Poincaré–Bendixson theorem describing recurrence properties and ω …

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We construct the Atiyah classes of holomorphic vector bundles using (1, 0)-connections and
developing a Chern–Weil type theory, allowing us to effectively compare Chern and Atiyah …

In this work we prove a Baum–Bott type residue theorem for flags of holomorphic foliations.
We prove some relations between the residues of the flag and the residues of their …

This paper studies the embeddings of a complex submanifold S inside a complex manifold
M; in particular, we are interested in comparing the embedding of S in M with the embedding …

In this thesis we shall discuss geometrical methods in the study of normal forms of germs of
biholomorphisms of Cn. Given a germ of biholomorphism f of Cn at a fixed point p, one …

In this work, we extend the residue theory from flag of holomorphic foliations to flag of
holomorphic distributions and we provide an effective way to calculate this class in certain …

arXiv:1006.3706v1 [math.CV] 18 Jun 2010 Page 1 arXiv:1006.3706v1 [math.CV] 18 Jun 2010
PERTURBATION OF BAUM-BOTT RESIDUES FILIPPO BRACCI AND TATSUO SUWA …