Canci, Jung Kyu and Paladino, Laura. (2016) Preperiodic points for rational functions defined over a global field in terms of good reduction. Proceedings of the American Mathematical Society, 144 (12). p. 18.
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Abstract
Let $phi$ be an endomorphism of the projective line defined over a global field $K.$ We prove a bound for the cardinality of the set of $K$–rational preperiodic points for φ in terms of the number of places of bad reduction. The result is completely new in the function field case and is an improvement of the number field case.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger) |
|---|---|
| UniBasel Contributors: | Canci, Jung Kyu |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| e-ISSN: | 1088-6826 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: |
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| Last Modified: | 01 Nov 2017 10:47 |
| Deposited On: | 01 Nov 2017 10:47 |
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