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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 poin...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Pisa :
Scuola Normale Superiore : Imprint: Edizioni della Normale,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Theses (Scuola Normale Superiore),
20 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 020 | |a 9788876425592 |9 978-88-7642-559-2 | ||
| 024 | 7 | |a 10.1007/978-88-7642-559-2 |2 doi | |
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| 072 | 7 | |a GPFC |2 thema | |
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| 100 | 1 | |a Ruggiero, Matteo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Rigid Germs, the Valuative Tree, and Applications to Kato Varieties |h [electronic resource] / |c by Matteo Ruggiero. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Pisa : |b Scuola Normale Superiore : |b Imprint: Edizioni della Normale, |c 2015. | |
| 300 | |a Approx. 200 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Theses (Scuola Normale Superiore), |x 2532-1668 ; |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 Dynamical systems. | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Algebraic Topology. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9788876425585 |
| 830 | 0 | |a Theses (Scuola Normale Superiore), |x 2532-1668 ; |v 20 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-88-7642-559-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||