Pseudo-periodic Maps and Degeneration of Riemann Surfaces
The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an extension of periodic maps. In this book, the conjugacy classes of the (chiral) pseudo-periodic mappin...
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| Main Authors: | , , |
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| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2011. |
| Series: | Lecture Notes in Mathematics
2030 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 250 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Pseudo-periodic maps and degeneration of Riemann surfaces, Yukio Matsumoto, José María Montesinos-Amilibia, Heidelberg, Springer, 2011, 1 vol. (XVI-238 p.), Lecture notes in mathematics, 978-3-642-22533-8 • Pseudo-periodic maps and degeneration of Riemann surfaces, Yukio Matsumoto, José María Montesinos-Amilibia, Heidelberg, Springer, 2011, 1 vol. (XVI-238 p.), Lecture notes in mathematics, 978-3-642-22533-8 • Pseudo-periodic Maps and Degeneration of Riemann Surfaces, Texte imprimé, 9783642225352 |
| Summary: | The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an extension of periodic maps. In this book, the conjugacy classes of the (chiral) pseudo-periodic mapping classes are completely classified, and Nielsen s incomplete classification is corrected. The second part applies the results of the first part to the topology of degeneration of Riemann surfaces. It is shown that the set of topological types of all the singular fibers appearing in one-parameter holomorphic families of Riemann surfaces is in a bijective correspondence with the set of conjugacy classes of the pseudo-periodic maps of negative twists. The correspondence is given by the topological monodromy |
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| Item Description: | L'impression du document génère 250 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliography: | Bibliogr. Index |
| ISBN: | 9783642225345 |
| ISSN: | 1617-9692 |
| Access: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |