A set on which the Lojasieewicz exponent at infinity is attained
Jacek Chądzyński, Tadeusz Krasiński
Abstract
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Jacek Chądzyński, Tadeusz Krasiński
Abstract
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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}
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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}
Key concepts: Infinity, Exponent, Set (abstract data type), Mathematics, Statistical physics, Mathematical analysis, Physics, Computer science