| 书目名称 | Rigid Germs, the Valuative Tree, and Applications to Kato Varieties | | 编辑 | Matteo Ruggiero | | 视频video | | | 概述 | specific features of the theory of holomorphic dynamics in dimension 2.analogous questions in higher dimensions.Contains adetailed study of an example of a non-Kahler 3-fold of type Kato.Featuresnew, | | 丛书名称 | Publications of the Scuola Normale Superiore | | 图书封面 |  | | 描述 | .This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.g. dealing with normal forms forrigid germs, and examples of Kato 3-folds..The local dynamics of holomorphic mapsaround critical points is still not completely understood, in dimension 2 orhigher, due to the richness of the geometry of the critical set for alliterates..In dimension 2, the study of thedynamics induced on a suitable functional space (the valuative tree) allows aclassification of such maps up to birational conjugacy, reducing the problem tothe special class of rigid germs, where the geometry of the critical set issimple...In some cases, from such dynamical dataone can construct special compact complex surfaces, called Kato surfaces,related to some conjectures in complex geometry.. | | 出版日期 | Book 2015 | | 关键词 | local holomorphic dynamics; normal forms; compact non-Kaehler geometry; non-archimedean dynamics; compac | | 版次 | 1 | | doi | https://doi.org/10.1007/978-88-7642-559-2 | | isbn_softcover | 978-88-7642-558-5 | | isbn_ebook | 978-88-7642-559-2Series ISSN 2239-1460 Series E-ISSN 2532-1668 | | issn_series | 2239-1460 | | copyright | Scuola Normale Superiore Pisa 2015 |
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书目名称Rigid Germs, the Valuative Tree, and Applications to Kato Varieties影响因子(影响力)学科排名
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发表于 2025-3-21 17:52:34
