Mathematics – Logic
Scientific paper
2007-08-18
Geom. Dedicata 140 (2009), 1-17
Mathematics
Logic
20 pages
Scientific paper
10.1007/s10711-008-9311-8
Let f be a definable function, enough differentiable. Under the condition of having strongly isolated singularities at infinity at a regular value c we give a sufficient condition expressed in terms of the total absolute curvature function to ensure the local triviality of the function f over a neighbourhood of c and doing so providing the tame version of Parusinski's Theorem on complex polynomials with isolated singularities at infinity.
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