Acta mathematica scientia, Series B >
Cl -GV TRIVIALITY OF FUNCTION GERMS AND NEWTON POLYHEDRA
Received date: 2009-07-21
Online published: 2011-07-20
Supported by
This work was supported by the National Nature Science Foundation of China （10671009; 10871149）.
Weprovideestimates onthedegreeof Cl -GV determinacy(G is oneofMather’s groups R or K ) of function germs which are defined on analytic variety V and satisfies a non-degeneracy condition with respect to some Newton polyhedron. The result gives lan explicit order such that the Cl geometrical structure of a function germ is preserved l after higher order perturbations, which generalizes the result on Cl-G triviality of function germs given by M.A.S.Ruas.
Key words： Cl -RV triviality; Cl-KV triviality; A-isolated; controlled vector field
LIU Heng-Xing , ZHANG Dun-Mu . Cl -GV TRIVIALITY OF FUNCTION GERMS AND NEWTON POLYHEDRA[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1411 -1424 . DOI: 10.1016/S0252-9602(11)60327-5
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