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

• Main Author: Ruggiero, Matteo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2015.
• Series: Publications of the Scuola Normale Superiore ; 20
• Subjects: Mathematics.; Algebraic geometry.; Dynamics.; Ergodic theory.; Algebraic topology.; Dynamical Systems and Ergodic Theory.; Algebraic Geometry.; Algebraic Topology.

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...