We give an upper estimate for the \L ojasiewicz exponent
l(J, I) of an ideal J⊂eq A(\bm{K}
n) with respect to another ideal I in the ring A(\bm{K}
n) of germs analytic functions f:(\bm{K}
n, 0)→ K, where \bm{K}=\bm{C} or \bm{R}, using Newton polyhedrons. In particular, we give a method to estimate the \L ojasiewicz exponent α
0(f) of a germ f∈ A(\bm{K}
n) that can be applied when f is Newton degenerate with respect to its Newton polyhedron.
抄録全体を表示