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Rigid germs, the valuative tree, and applications to Kato varieties[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.98
書名/作者:	Rigid germs, the valuative tree, and applications to Kato varieties/ by Matteo Ruggiero.
作者:	Ruggiero, Matteo.
出版者:	Pisa : : Scuola Normale Superiore :, 2015.
面頁冊數:	xxvi, 173 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Holomorphic functions.
標題:	Germs (Mathematics)
標題:	Mathematics.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Algebraic Geometry.
標題:	Algebraic Topology.
ISBN:	9788876425592
ISBN:	9788876425585
內容註:	Introduction.-1.Background -- 2.Dynamics in 2D -- 3.Rigid germs in higher dimension -- 4 Construction of non-Kahler 3-folds -- References -- Index.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-88-7642-559-2

Rigid germs, the valuative tree, and applications to Kato varieties[electronic resource] /
Ruggiero, Matteo.

Rigid germs, the valuative tree, and applications to Kato varieties[electronic resource] /by Matteo Ruggiero. - Pisa :Scuola Normale Superiore :2015. - xxvi, 173 p. :ill., digital ;24 cm. - Tesi ;20. - Tesi ;20..

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

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.

ISBN: 9788876425592

Standard No.: 10.1007/978-88-7642-559-2doiSubjects--Topical Terms:

404612
Holomorphic functions.

LC Class. No.: QA331

Dewey Class. No.: 515.98

Rigid germs, the valuative tree, and applications to Kato varieties[electronic resource] /
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