Exposants de Lojasiewicz dans le cas semi-algebrique $p$-adique
Volume 79 / 2002
Annales Polonici Mathematici 79 (2002), 1-19
MSC: 03C10, 11F85, 14P10.
DOI: 10.4064/ap79-1-1
Abstract
We prove the rationality of the /Lojasiewicz 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 /Lojasiewicz exponent is constant.
