Choosing roots of polynomials smoothly, II

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We show that the roots of any smooth curve of polynomials with only real roots can be parametrized twice differentiably (but not better).
Amstex, 5 pages; some misprints corrected

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Classical Analysis and ODEs, 26C10

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http://salesiana.dossiersoluciones.com/handle/123456789/64797

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208228
 http://arxiv.org/abs/math/0208228
 Israel J. Math. 139 (2004), 183-188

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arXiv