Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type
We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an extension to algebraic points of bounded degree of a result of Pila-Wilkie on the density of rational points on sets definable in an o-minimal structure. The strategy follows that of a recent new pro...
| Κύριος συγγραφέας: | |
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| Μορφή: | Journal article |
| Γλώσσα: | English |
| Έκδοση: |
2009
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| _version_ | 1826288526545649664 |
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| author | Pila, J |
| author_facet | Pila, J |
| author_sort | Pila, J |
| collection | OXFORD |
| description | We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an extension to algebraic points of bounded degree of a result of Pila-Wilkie on the density of rational points on sets definable in an o-minimal structure. The strategy follows that of a recent new proof of the Manin-Mumford conjecture by Pila-Zannier, and a proof of a special (but new) case of Pink's relativeManin-Mumford conjecture by Masser-Zannier. © 2009 The Author. Published by Oxford University Press. All rights reserved. |
| first_indexed | 2024-03-07T02:15:02Z |
| format | Journal article |
| id | oxford-uuid:a1ed93a6-2c17-41db-b17c-a20463a16a84 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:15:02Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:a1ed93a6-2c17-41db-b17c-a20463a16a842022-03-27T02:16:42ZRational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford typeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a1ed93a6-2c17-41db-b17c-a20463a16a84EnglishSymplectic Elements at Oxford2009Pila, JWe prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an extension to algebraic points of bounded degree of a result of Pila-Wilkie on the density of rational points on sets definable in an o-minimal structure. The strategy follows that of a recent new proof of the Manin-Mumford conjecture by Pila-Zannier, and a proof of a special (but new) case of Pink's relativeManin-Mumford conjecture by Masser-Zannier. © 2009 The Author. Published by Oxford University Press. All rights reserved. |
| spellingShingle | Pila, J Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title | Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title_full | Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title_fullStr | Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title_full_unstemmed | Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title_short | Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type |
| title_sort | rational points of definable sets and results of andre oort manin mumford type |
| work_keys_str_mv | AT pilaj rationalpointsofdefinablesetsandresultsofandreoortmaninmumfordtype |