Parametric rectilinearization for p-adic semi-algebraic sets and rationality of p-adic integrals

Mathematics – Number Theory

Scientific paper

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11 pages

Scientific paper

We present a rectilinearization theorem for p-adic semi-algebraic sets
depending on parameters. As an application of our main theorem we present an
alternative proof of a rationality result for parametric p-adic inte- grals,
due to Denef.

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