Rigid Germs, the Valuative Tree, and Applications to Kato Varieties

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This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the geometry of the critical set for all iterates. In dimension 2, the study of the dynamics induced on a suitable functional space (the ...

Rigid Germs, the Valuative Tree, and Applications to Kato Varieties 2016, Edizioni Della Normale

ISBN-13: 9788876425585

2016 edition

Trade paperback

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