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• W3046285587 startingPage "1423" @default.
• W3046285587 abstract "We prove a uniform version of non-Archimedean Yomdin-Gromov parametrizations in a definable context with algebraic Skolem functions in the residue field. The parametrization result allows us to bound the number of F_q[t]-points of bounded degrees of algebraic varieties, uniformly in the cardinality q of the finite field F_q and the degree, generalizing work by Sedunova for fixed q. We also deduce a uniform non-Archimedean Pila-Wilkie theorem, generalizing work by Cluckers-Comte-Loeser." @default.
• W3046285587 created "2020-08-07" @default.
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• W3046285587 date "2020-07-30" @default.
• W3046285587 modified "2023-09-25" @default.
• W3046285587 title "Uniform Yomdin–Gromov parametrizations and points of bounded height in valued fields" @default.
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• W3046285587 doi "https://doi.org/10.2140/ant.2020.14.1423" @default.
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