Rigid Germs the Valuative Tree and Applications to Kato Varieties is popular PDF and ePub book, written by Matteo Ruggiero in 2016-04-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Rigid Germs the Valuative Tree and Applications to Kato Varieties can be Read Online from any device for your convenience.
Rigid Germs the Valuative Tree and Applications to Kato Varieties Book PDF Summary
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 valuative tree) allows a classification of such maps up to birational conjugacy, reducing the problem to the special class of rigid germs, where the geometry of the critical set is simple. In some cases, from such dynamical data one can construct special compact complex surfaces, called Kato surfaces, related to some conjectures in complex geometry.
Detail Book of Rigid Germs the Valuative Tree and Applications to Kato Varieties PDF
- Author : Matteo Ruggiero
- Release : 28 April 2016
- Publisher : Springer
- ISBN : 9788876425592
- Genre : Mathematics
- Total Page : 194 pages
- Language : English
- PDF File Size : 18,8 Mb
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