Mathematics – Algebraic Geometry
Scientific paper
2002-08-28
Serdica Math. J. 29, No. 2 (2003), 177-186
Mathematics
Algebraic Geometry
Scientific paper
We 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.
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