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

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arXiv · 1811.12097

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

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Abstract

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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N. Amburg, E. Kreines, G. Shabat. 2018-11-29. Poincare polynomial for the moduli space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$ and the number of points in $\overline{{\mathcal M}_{0,n}}({\mathbb F}_q)$. https://arxiv.org/abs/1811.12097

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