Articles liés à Rigid Germs, the Valuative Tree, and Applications to...

Rigid Germs, the Valuative Tree, and Applications to Kato Varieties - Couverture souple

Ruggiero, Matteo

 
9788876425585: Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
Couverture souple
ISBN 10 : 8876425586 ISBN 13 : 9788876425585
Editeur : Scuola Normale Superiore, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scuola Normale Superiore
Date d'édition
2016
Langue
anglais
ISBN 10 
8876425586
ISBN 13 
9788876425585
Reliure
Broché
Nombre de pages
200
Coordonnées du fabricant
non disponible
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