Details
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
Publications of the Scuola Normale Superiore
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18,18 € |
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| Verlag: | Edizioni Della Normale |
| Format: | |
| Veröffentl.: | 28.04.2016 |
| ISBN/EAN: | 9788876425592 |
| Sprache: | englisch |
| Anzahl Seiten: | 200 |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
<p>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.</p><p>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.</p><p>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.</p><p>
</p><p>In some cases, from such dynamical data
one can construct special compact complex surfaces, called Kato surfaces,
related to some conjectures in complex geometry.</p>
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.</p><p>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.</p><p>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.</p><p>
</p><p>In some cases, from such dynamical data
one can construct special compact complex surfaces, called Kato surfaces,
related to some conjectures in complex geometry.</p>
<p>Introduction.-1.Background.-
2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of
non-Kahler 3-folds.- References.- Index.</p>
2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of
non-Kahler 3-folds.- References.- Index.</p>
specific features of the theory of holomorphic dynamics in dimension 2 analogous questions in higher dimensions Contains a
detailed study of an example of a non-Kahler 3-fold of type Kato Features
new, previously unpublished results
detailed study of an example of a non-Kahler 3-fold of type Kato Features
new, previously unpublished results
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