Overview
- Useful as supplementary reading in singularity courses and for independent study
- Blends fundamental concepts in foliations and singularity theory with modern results on the topic
- Includes relevant open questions to foster research in the field
Part of the book series: Latin American Mathematics Series (LAMS)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The text starts with a gentle presentation of the classical notion of foliations, advancing to holomorphic foliations and then holomorphic foliations with singularities. The theory behind reduction of singularities is described in detail, as well the cases for dynamics of a local diffeomorphism and foliations on complex projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous holomorphic foliations, along with a list of open questions for further study and research. Selected exercises at the end of each chapter help the reader to grasp the theory.
Graduate students in Mathematics with a special interest in the theory of foliations will especially benefit from this book, which can be used as supplementary reading in Singularity Theory courses, and as a resource for independent study on this vibrant field of research.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Holomorphic Foliations with Singularities
Book Subtitle: Key Concepts and Modern Results
Authors: Bruno Scárdua
Series Title: Latin American Mathematics Series
DOI: https://doi.org/10.1007/978-3-030-76705-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-76704-4Published: 02 December 2021
Softcover ISBN: 978-3-030-76707-5Published: 03 December 2022
eBook ISBN: 978-3-030-76705-1Published: 01 December 2021
Series ISSN: 2524-6755
Series E-ISSN: 2524-6763
Edition Number: 1
Number of Pages: XI, 167
Number of Illustrations: 5 b/w illustrations, 1 illustrations in colour
Topics: Algebraic Geometry, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Algebraic Topology