Tame Functions with strongly isolated singularities at infinity: a tame version of a Parusinski's Theorem
arXiv:0708.2474 · doi:10.1007/s10711-008-9311-8
Abstract
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.
20 pages