Mathematics – Algebraic Geometry
Scientific paper
1999-04-28
Mathematics
Algebraic Geometry
LATEX2e, 9 pages
Scientific paper
Let H be the supremum of finitely many real polynomials of degree d and
assume that H has a strict local minimum at 0. We prove a \L ojasiewicz-type
inequality $H(x_1,...,x_n) > ||(x_1,...,x_n)||^s$ where s depends only on d and
n. This implies a similar inequality where $(x_1,...,x_n)$ runs through the
points of a semi-algebraic set.
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