Abstract
We show that the roots of any smooth curve of polynomials with real roots only can be parametrized twice differentiable (but not better).
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M. L. and P. W. M. were supported by ‘Fonds zur Förderung der wissenschaftlichen Forschung, Projekt P 14195 MAT’.
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Kriegl, A., Losik, M. & Michor, P.W. Choosing roots of polynomials smoothly, II. Isr. J. Math. 139, 183–188 (2004). https://doi.org/10.1007/BF02787548
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DOI: https://doi.org/10.1007/BF02787548