书目名称 | Holomorphic Foliations with Singularities | 副标题 | Key Concepts and Mod | 编辑 | Bruno Scárdua | 视频video | | 概述 | 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 ope | 丛书名称 | Latin American Mathematics Series | 图书封面 |  | 描述 | 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. Cartan, K. Oka, T. Nishino, and M. Suzuki..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 Sing | 出版日期 | Textbook 2021 | 关键词 | foliations; singularities; topology; geometry; holomorphic foliations; dynamical systems; algebraic geomet | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-76705-1 | isbn_softcover | 978-3-030-76707-5 | isbn_ebook | 978-3-030-76705-1Series ISSN 2524-6755 Series E-ISSN 2524-6763 | issn_series | 2524-6755 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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