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Exposants de Lojasiewicz dans le cas semi-algebrique p-adique

Azzeddine Fekak, Ahmed Srhir (2002)

Annales Polonici Mathematici

We prove the rationality of the Łojasiewicz exponent for p-adic semi-algebraic functions without compactness hypothesis. In the parametric case, we show that the parameter space can be divided into a finite number of semi-algebraic sets on each of which the Łojasiewicz exponent is constant.

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