The index of analytic vector fields and Newton polyhedraBiviaAusina, CARLES The index of analytic vector fields and Newton polyhedra. In: Mathematical Society of Japan, 12th International Research Insitute, Singularity Theory and Its Applications, 1625 September 2003, Sapporo Convention Center ( Sapporo, Japan ).
17 September 2003: Mathematical Society of Japan, 12th International Research Insitute, Singularity Theory and Its Applications AbstractIn this work we study a condition of nondegeneracy on analytic maps (R_n; 0) \to (R_n; 0) using the language of Newton polyhedra. When f:(R_n; 0) \to (R_n; 0) satisfies this condition and f^{1}(0) = {0} , we obtain a result on the invariance of the local index of f under the summation of suitable monomials to each component function of f.
