國立虎尾科技大學 |

Language: English

Back

Rigid germs, the valuative tree, and...

SpringerLink (Online service)

Rigid germs, the valuative tree, and applications to Kato varieties

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rigid germs, the valuative tree, and applications to Kato varieties/ by Matteo Ruggiero.
Author:	Ruggiero, Matteo.
Published:	Pisa :Scuola Normale Superiore : : 2015.,
Description:	xxvi, 173 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Holomorphic functions. -
Online resource:	http://dx.doi.org/10.1007/978-88-7642-559-2
ISBN:	9788876425592

Rigid germs, the valuative tree, and applications to Kato varieties
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:

672030
Holomorphic functions.

LC Class. No.: QA331

Dewey Class. No.: 515.98

Rigid germs, the valuative tree, and applications to Kato varieties
LDR:01997nam a2200325 a 4500 001 839186
003 DE-He213
005 20160531135349.0
006 m d
007 cr nn 008maaau
008 160616s2015 it s 0 eng d
020 $a 9788876425592 $q (electronic bk.)
020 $a 9788876425585 $q (paper)
024 7 $a 10.1007/978-88-7642-559-2 $2 doi
035 $a 978-88-7642-559-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.98 $2 23
090 $a QA331 $b .R931 2015
100 1 $a Ruggiero, Matteo. $3 1070734
245 1 0 $a Rigid germs, the valuative tree, and applications to Kato varieties $h [electronic resource] / $c by Matteo Ruggiero.
260 $a Pisa : $b Scuola Normale Superiore : $b Imprint: Edizioni della Normale, $c 2015.
300 $a xxvi, 173 p. : $b ill., digital ; $c 24 cm.
490 1 $a Tesi ; $v 20
505 0 $a Introduction.-1.Background -- 2.Dynamics in 2D -- 3.Rigid germs in higher dimension -- 4 Construction of non-Kahler 3-folds -- References -- Index.
520 $a 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.
650 0 $a Holomorphic functions. $3 672030
650 0 $a Germs (Mathematics) $3 1070736
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Algebraic Topology. $3 672209
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Tesi ; $v 20. $3 1070735
856 4 0 $u http://dx.doi.org/10.1007/978-88-7642-559-2
950 $a Mathematics and Statistics (Springer-11649)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library