Rigid Germs, the Valuative Tree, and Applications to Kato Varieties (Paperback, 1st ed. 2016)

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.

General

Imprint:	Scuola Normale Superiore
Country of origin:	Italy
Series:	Theses (Scuola Normale Superiore), 20
Release date:	February 2016
First published:	2015
Authors:	Matteo Ruggiero
Dimensions:	240 x 150 x 15mm (L x W x T)
Format:	Paperback
Edition:	1st ed. 2016
ISBN-13:	978-88-7642-558-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	88-7642-558-6
Barcode:	9788876425585

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!