# Cech cover of the complement of the discriminant variety

@article{Combe2018CechCO, title={Cech cover of the complement of the discriminant variety}, author={Noemie C. Combe}, journal={arXiv: Algebraic Geometry}, year={2018} }

We consider a new stratification of the space of configurations of $d$ marked points on the complex plane. Recall, that this space can be differently interpreted as the space $Dpol_{d}$ of degree $d>1$ complex, monic polynomials with distinct roots, the sum of which is 0. A stratum $A_{\sigma}$, is the set of polynomials having $P^{-1}(\mathbb{R}\cup\imath\mathbb{R})$ in the same isotopy class, relative to their asymptotic directions. We show that this stratification is topological, and its…

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