Real Analytic Milnor Fibrations and a Strong Łojasiewicz Inequality

Details Real Analytic Milnor Fibrations and a Strong Łojasiewicz Inequality Real Analytic Milnor Fibrations and a Strong Łojasiewicz Inequality

2007-03-20

arxiv.org/abs/math/0703613v5

Mathematics

Algebraic Geometry

20 pages

Scientific paper

We give a strong version of a classic inequality of \L ojasiewicz; one which
collapses to the usual inequality in the complex analytic case. We show that
this inequality for a pair, quadruple, or octuple of real analytic functions
allows us to construct a real Milnor fibration inside a ball.

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