Poincaré polynomial of the space \(\overline{\mathcal M_{0,n}}(\mathbb{C})\) and the number of points of the space \(\overline{\mathcal M_{0,n}}(F_q)\) (Q1709445)
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scientific article; zbMATH DE number 6856387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré polynomial of the space \(\overline{\mathcal M_{0,n}}(\mathbb{C})\) and the number of points of the space \(\overline{\mathcal M_{0,n}}(F_q)\) |
scientific article; zbMATH DE number 6856387 |
Statements
Poincaré polynomial of the space \(\overline{\mathcal M_{0,n}}(\mathbb{C})\) and the number of points of the space \(\overline{\mathcal M_{0,n}}(F_q)\) (English)
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5 April 2018
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This paper consists of a direct proof that a recursive formula proved by \textit{S. Keel} in [Trans. Am. Math. Soc. 330, No. 2, 545--574 (1992; Zbl 0768.14002)] for the Betti numbers of the moduli space of stable complex rational curves with marked points also holds for the number of points of the space of stable rational curves over any finite field.
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moduli space
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stable rational curves
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rational points
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0.8565818
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0.8291363
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0.8283437
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0.82815963
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0.8278362
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0.82649183
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0.81905425
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