论文标题
在Pila-Wilkie定理上
On the Pila-Wilkie theorem
论文作者
论文摘要
该说明性论文介绍了Pila-Wilkie计数定理及其一些扩展和概括。我们使用半格细胞分解来简化原始证明的一部分。我们还包括由于Pila和Bombieri以及该证明中使用的O-Minimal Yomdin-Gromov定理而导致的结果的完整处理。对于后者，我们跟随Binyamini和Novikov。
This expository paper gives an account of the Pila-Wilkie counting theorem and some of its extensions and generalizations. We use semialgebraic cell decomposition to simplify part of the original proof. We also include complete treatments of a result due to Pila and Bombieri and of the o-minimal Yomdin-Gromov theorem that are used in this proof. For the latter we follow Binyamini and Novikov.
