Szkło powiększające
Search Loader

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

Wsparcie

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.

€18.18
Metody Płatności

Spis treści

Introduction.-1.Background.- 2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of non-Kahler 3-folds.- References.- Index.

Język Angielski ● Format PDF ● Strony 200 ● ISBN 9788876425592 ● Rozmiar pliku 1.2 MB ● Wydawca Edizioni della Normale ● Miasto Pisa ● Kraj CH ● Opublikowany 2016 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 4884915 ● Ochrona przed kopiowaniem Społeczny DRM

Więcej książek elektronicznych tego samego autora (ów) / Redaktor

2 085 Ebooki w tej kategorii