• Corpus ID: 119300943

Cech cover of the complement of the discriminant variety

  title={Cech cover of the complement of the discriminant variety},
  author={Noemie C. Combe},
  journal={arXiv: Algebraic Geometry},
  • N. Combe
  • Published 25 August 2018
  • Mathematics
  • arXiv: Algebraic Geometry
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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