Displaying similar documents to “Dicritical logarithmic foliations.”

On the height of foliated surfaces with vanishing Kodaira dimension.

Jorge Vitório Pereira (2005)

Publicacions Matemàtiques

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We prove that the height of a foliated surface of Kodaira dimension zero belongs to (1, 2, 3, 4, 5, 6, 8, 10, 12). We also construct an explicit projective model. for Brunella's very special foliation.

On the Toëplitz corona problem.

Eric Amar (2003)

Publicacions Matemàtiques

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The aim of this note is to characterize the vectors g = (g, . . . ,g) of bounded holomorphic functions in the unit ball or in the unit polydisk of C such that the Corona is true for them in terms of the H Corona for measures on the boundary.

A Schwarz lemma for correspondences and applications.

Kaushal Verma (2003)

Publicacions Matemàtiques

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A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.

Normalization of Poincaré singularities via variation of constants.

Timoteo Carletti, Alessandro Margheri, Massimo Villarin (2005)

Publicacions Matemàtiques

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We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size of the convergence domain of the linearizing transformation to the geometry of the complex foliation associated to the vector field.