Rigid Germs, the Valuative Tree, and Applications to Kato Varieties by Matteo Ruggiero.
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 poin...
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