A set on which the Lojasieewicz exponent at infinity is attained

1998/02/13 by J. Chadzynski, T. Krasinski
Mathematics · #math.AG #msc:14E05

paper · pdf

published as Ann. Polon. Math. 67(1997), 191-197 · 6 pages, AMSTeX 2.1

arxiv created 1998/02/13 · arxiv updated 2009/11/30

Abstract

We show that for a polynomial mapping F = (f₁,...,f_m): Cⁿ → C^m the Lojasiewicz exponent at infinity of F is attained on the set z ∈ Cⁿ : f₁(z)...f_m(z) = 0

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