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

Azzeddine Fekak; Ahmed Srhir

Annales Polonici Mathematici (2002)

  • Volume: 79, Issue: 1, page 1-19
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Azzeddine Fekak, and Ahmed Srhir. "Exposants de Lojasiewicz dans le cas semi-algebrique p-adique." Annales Polonici Mathematici 79.1 (2002): 1-19. <http://eudml.org/doc/280327>.

@article{AzzeddineFekak2002,
author = {Azzeddine Fekak, Ahmed Srhir},
journal = {Annales Polonici Mathematici},
keywords = {Łojasiewicz exponent; -adic semi-algebraic function; -adic spectrum},
language = {fre},
number = {1},
pages = {1-19},
title = {Exposants de Lojasiewicz dans le cas semi-algebrique p-adique},
url = {http://eudml.org/doc/280327},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Azzeddine Fekak
AU - Ahmed Srhir
TI - Exposants de Lojasiewicz dans le cas semi-algebrique p-adique
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 1
SP - 1
EP - 19
LA - fre
KW - Łojasiewicz exponent; -adic semi-algebraic function; -adic spectrum
UR - http://eudml.org/doc/280327
ER -

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