On a stratification defined by real roots of polynomials

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dc.creatorKostov, Vladimir Petrov
dc.date2002-08-28
dc.date2002-09-02
dc.date.accessioned2026-07-07T04:50:26Z
dc.date.available2026-07-07T04:50:26Z
dc.descriptionWe consider the family of polynomials $P(x,a)=x^n+a_1x^{n-1}+... +a_n$, $x,a_i\in {\bf R}$, and the stratification of ${\bf R}^n\cong \{(a_1,... ,a_n)|a_i\in {\bf R}\}$ defined by the multiplicity vector of the real roots of $P$. We prove smoothness of the strata and a transversality property of their tangent spaces.
dc.identifierhttps://arxiv.org/abs/math/0208219
dc.identifierhttp://arxiv.org/abs/math/0208219
dc.identifierSerdica Math. J. 29, No. 2 (2003), 177-186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64791
dc.subjectAlgebraic Geometry
dc.titleOn a stratification defined by real roots of polynomials
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