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Berkovich spaces and applications / Antoine Ducros, Charles Favre, Johannes Nicaise editors
| Berkovich spaces and applications / Antoine Ducros, Charles Favre, Johannes Nicaise editors |
| Pubbl/distr/stampa | Cham, : Springer, 2015 |
| Descrizione fisica | XIX, 413 p. ; 24 cm |
| Soggetto topico |
13A18 - Valuations and their generalizations for commutative rings [MSC 2020]
32H50 - Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables [MSC 2020] 12J25 - Non-Archimedean valued fields [MSC 2020] 31C45 - Other generalizations (nonlinear potential theory, etc.) [MSC 2020] 20E08 - Groups acting on trees [MSC 2020] 51E24 - Buildings and the geometry of diagrams [MSC 2020] 20E42 - Groups with a BN-pair; buildings [MSC 2020] 14F20 - Étale and other Grothendieck topologies and (co)homologies [MSC 2020] 14G22 - Rigid analytic geometry [MSC 2020] 11S85 - Other nonanalytic theory [MSC 2020] 37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [MSC 2020] 37E25 - Dynamical systems involving maps of trees and graphs [MSC 2020] 37P50 - Dynamical systems on Berkovich spaces [MSC 2020] 11S82 - Non-Archimedean dynamical systems [MSC 2020] 37P40 - Non-Archimedean Fatou and Julia sets [MSC 2020] 32J05 - Compactification of analytic spaces [MSC 2020] |
| Soggetto non controllato |
Berkovich analytic spaces
Bruhat-Tits buildings Etale cohomology Morgan-Shalen's compactification Non-Archimedean dynamics |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0101389 |
| Cham, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Berkovich spaces and applications / Antoine Ducros, Charles Favre, Johannes Nicaise editors
| Berkovich spaces and applications / Antoine Ducros, Charles Favre, Johannes Nicaise editors |
| Pubbl/distr/stampa | Cham, : Springer, 2015 |
| Descrizione fisica | XIX, 413 p. ; 24 cm |
| Soggetto topico |
11S82 - Non-Archimedean dynamical systems [MSC 2020]
11S85 - Other nonanalytic theory [MSC 2020] 12J25 - Non-Archimedean valued fields [MSC 2020] 13A18 - Valuations and their generalizations for commutative rings [MSC 2020] 14F20 - Étale and other Grothendieck topologies and (co)homologies [MSC 2020] 14G22 - Rigid analytic geometry [MSC 2020] 20E08 - Groups acting on trees [MSC 2020] 20E42 - Groups with a BN-pair; buildings [MSC 2020] 31C45 - Other generalizations (nonlinear potential theory, etc.) [MSC 2020] 32H50 - Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables [MSC 2020] 32J05 - Compactification of analytic spaces [MSC 2020] 37E25 - Dynamical systems involving maps of trees and graphs [MSC 2020] 37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [MSC 2020] 37P40 - Non-Archimedean Fatou and Julia sets [MSC 2020] 37P50 - Dynamical systems on Berkovich spaces [MSC 2020] 51E24 - Buildings and the geometry of diagrams [MSC 2020] |
| Soggetto non controllato |
Berkovich Analytic Spaces
Bruhat-Tits Buildings Etale cohomology Morgan-Shalen's compactification Non-Archimedean dynamics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00101389 |
| Cham, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Rigid germs, the valuative tree, and applications to Kato varieties / Matteo Ruggiero
| Rigid germs, the valuative tree, and applications to Kato varieties / Matteo Ruggiero |
| Autore | Ruggiero, Matteo |
| Pubbl/distr/stampa | Pisa, : Edizioni della Normale, 2015 |
| Descrizione fisica | XXVI, 173 p. : ill. ; 24 cm |
| Soggetto topico |
30D05 - Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable [MSC 2020]
32S25 - Complex surface and hypersurface singularities [MSC 2020] 37F25 - Renormalization of holomorphic dynamical systems [MSC 2020] 32H50 - Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables [MSC 2020] 14J17 - Singularities of surfaces or higher-dimensional varieties [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Compact complex varieties
Compact non-Kaehler geometry Local holomorphic dynamics Non-Archimedean dynamics Normal forms |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0114031 |
Ruggiero, Matteo
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| Pisa, : Edizioni della Normale, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Rigid germs, the valuative tree, and applications to Kato varieties / Matteo Ruggiero
| Rigid germs, the valuative tree, and applications to Kato varieties / Matteo Ruggiero |
| Autore | Ruggiero, Matteo |
| Pubbl/distr/stampa | Pisa, : Edizioni della Normale, 2015 |
| Descrizione fisica | XXVI, 173 p. : ill. ; 24 cm |
| Soggetto topico |
14J17 - Singularities of surfaces or higher-dimensional varieties [MSC 2020]
30D05 - Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 32H50 - Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables [MSC 2020] 32S25 - Complex surface and hypersurface singularities [MSC 2020] 37F25 - Renormalization of holomorphic dynamical systems [MSC 2020] |
| Soggetto non controllato |
Compact Complex Varieties
Compact non-Kaehler Geometry Local holomorphic dynamics Non-Archimedean dynamics Normal forms |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00114031 |
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Ruggiero, Matteo
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| Pisa, : Edizioni della Normale, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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