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portada Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
Type
Physical Book
Author
Publisher
Language
English
Format
Paperback
Dimensions
23.9x15x1.5 cm
Weight
0.41 kg.
ISBN13
9788876425585
Categories

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

Matteo Ruggiero (Author) · Edizioni Della Normale · Paperback

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

New Book Imported to South Africa
Delivery: 08 Dec - 15 Dec Shipping: 13 to 15 business days.
R 716
R 716

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

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.

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