Holomorphic Foliations with Singularities [electronic resource] Key Concepts and Modern Results / by Bruno Scárdua.

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 show...

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Bibliographic Details
Uniform Title:Latin American Mathematics Series, 2524-6763
Main Author: Scárdua, Bruno (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:1st ed. 2021.
Series:Latin American Mathematics Series,
Subjects:
Algebraic geometry.
Dynamical systems.
Algebraic topology.
Online Access:
Springer Mathematics and Statistics eBooks 2021 English/International: 2021 (Springer Link)
Variant Title:
Holomorphic Foliations with Singularities: Key Concepts and Modern Results
Format: Electronic eBook
Contents:
  • 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.