On the Pila-Wilkie theorem
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Publication:6352316
DOI10.1016/J.EXMATH.2022.03.001arXiv2010.14046WikidataQ113874246 ScholiaQ113874246MaRDI QIDQ6352316
Lou van den Dries, Neer Bhardwaj
Publication date: 27 October 2020
Abstract: 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.
Arithmetic algebraic geometry (Diophantine geometry) (11G99) Model theory (number-theoretic aspects) (11U09) Model theory of ordered structures; o-minimality (03C64)
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