Holomorphic Foliations with Singularities

Key Concepts and Modern Results

AvBruno Scárdua

Inbunden, Engelska, 2021

Del i serien Latin American Mathematics Series

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Beskrivning

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

Produktinformation

Utgivningsdatum:2021-12-02
Mått:155 x 235 x 17 mm
Vikt:442 g
Format:Inbunden
Språk:Engelska
Serie:Latin American Mathematics Series
Antal sidor:167
Förlag:Springer Nature Switzerland AG
ISBN:9783030767044

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Mer om författaren

Bruno Scárdua is a Full Professor at the Federal University of Rio de Janeiro, Brazil. He holds a Master's degree (1992) and a PhD (1994) from the National Institute of Pure and Applied Mathematics (IMPA), Brazil, with postgraduate studies at the University of Valladolid, Spain, and Université de Rennes I, France. His research interests lie on foliations theory and topology of manifolds.

Innehållsförteckning

Preface.- The Classical Notions of Foliations.- Some Results from Several Complex Variables.- Holomorphic Foliations: Nonsingular Case.- Holomorphic Foliations with Singularities.- Holomorphic Foliations Given by Closed 1-Forms.- Reduction of Singularities.- Holomorphic First Integrals.- Dynamics of a Local Diffeomorphism.- Foliations on Complex Projective Spaces.- Foliations with Algebraic Limit Sets.- Some Modern Questions.- Miscellaneous exercises and some open questions.