Rigid germs, the valuative tree, and applications to Kato varieties
著者
書誌事項
Rigid germs, the valuative tree, and applications to Kato varieties
（Tesi = theses, 20）
Edizioni della Normale, c2015
- : pbk
大学図書館所蔵 件 / 全5件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Introduction.-1.Background.-
2.Dynamics in 2D.- 3.Rigid germs in higher dimension.- 4 Construction of
non-Kahler 3-folds.- References.- Index.
「Nielsen BookData」 より
