arXiv subjects

J. Chadzynski

Publications and source records attributed to J. Chadzynski.

2 recordsLinked to original sources

arXiv1998

A set on which the local Lojasiewicz exponent is attained

Let U be a neighbourhood of 0 \in C^n.We show that for a holomorphic mapping F = (f_1,...,f_m) : U -> C^m, F(0) = 0, the Lojasiewicz exponent of F at 0 is attained on the set {z \in U : f_1(z)...f_m(z) = 0}.

math.CV↗

arXiv1998

A set on which the Lojasieewicz exponent at infinity is attained

We show that for a polynomial mapping F = (f_1,...,f_m): C^n \to C^m the Lojasiewicz exponent at infinity of F is attained on the set {z \in C^n : f_1(z)...f_m(z) = 0}

math.AG↗