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.
Mots-clés :
prove rationality lojasiewicz exponent p adic semi algebraic functions without compactness hypothesis parametric parameter space divided finite number semi algebraic sets each which lojasiewicz exponent constant
Affiliations des auteurs :
Azzeddine Fekak
1
;
Ahmed Srhir
2
1
École Royale Navale Bd. Sour Jdid Casablanca (01), Maroc
2
Faculté des Sciences de Kénitra Université Ibn Tofail B.P. 133, Kénitra, Maroc
@article{10_4064_ap79_1_1,
author = {Azzeddine Fekak and Ahmed Srhir},
title = {Exposants de {Lojasiewicz} dans le cas semi-algebrique $p$-adique},
journal = {Annales Polonici Mathematici},
pages = {1--19},
year = {2002},
volume = {79},
number = {1},
doi = {10.4064/ap79-1-1},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap79-1-1/}
}
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AU - Azzeddine Fekak
AU - Ahmed Srhir
TI - Exposants de Lojasiewicz dans le cas semi-algebrique $p$-adique
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PY - 2002
SP - 1
EP - 19
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Azzeddine Fekak; Ahmed Srhir. Exposants de Lojasiewicz dans le cas semi-algebrique $p$-adique. Annales Polonici Mathematici, Tome 79 (2002) no. 1, pp. 1-19. doi: 10.4064/ap79-1-1
