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...
| 第一著者: | |
|---|---|
| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
2009
|
| 要約: | 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. |
|---|