Abstract.
The aim of this paper is to study the germ mappings : (ℝn, 0)→(ℝp, 0), more precisely, we formulate certain criteria for the v-sufficiency related to the Newton polyhedron. Our result implies in particular the criteria for v-sufficiency due to Kuo and Paunescu.
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This research was supported by the Japan Society for the Promotion of Science.
Mathematics Subject Classification (2000): 14B05;58A35
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Abderrahmane, O. Characterization of v-sufficiency from the Newton filtration. manuscripta math. 117, 93–103 (2005). https://doi.org/10.1007/s00229-005-0545-6
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DOI: https://doi.org/10.1007/s00229-005-0545-6