Poincare polynomial for the moduli space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$ and the number of points in $\overline{{\mathcal M}_{0,n}}({\mathbb F}_q)$

E. Kreines; G. Shabat; N. Amburg

arxiv: 1811.12097 · v1 · pith:NNOYEL7Unew · submitted 2018-11-29 · 🧮 math.AG

Poincare polynomial for the moduli space overline{{mathcal M}_(0,n)}({mathbb C}) and the number of points in overline{{mathcal M}_(0,n)}({mathbb F}_q)

N. Amburg , E. Kreines , G. Shabat This is my paper

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keywords mathbbmathcaloverlinespacenumberpoincarepointscombinatorial

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We obtain a combinatorial proof that the number of points of the space $\overline{{\mathcal M}_{0,n}}({\mathbb F}_q)$ satisfies the recurrent formula for Poincare polynomials of the space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$.

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Poincare polynomial for the moduli space overline{{mathcal M}_(0,n)}({mathbb C}) and the number of points in overline{{mathcal M}_(0,n)}({mathbb F}_q)

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