Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 20–27 (Mi vmumm77)  
Mathematics

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

N. Ya. Amburga, E. M. Kreinesba, G. B. Shabatca

a Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre «Kurchatov Institute»
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Russian State University for the Humanities, Moscow
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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 requrrent formula for Poincare polynomials of the space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$.
Key words: moduli space, Poincare polynomial, finite field.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-09242 А
15-01-01132
Simons Foundation
Received: 26.10.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 4, Pages 154–160
DOI: https://doi.org/10.3103/S0027132217040039
Bibliographic databases:
Document Type: Article
UDC: 512.772
Language: Russian
Citation: N. Ya. Amburg, E. M. Kreines, G. B. Shabat, “Poincaré polynomial of the space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$ and the number of points of the space $\overline{{\mathcal M}_{0,n}}({\mathbb F}_q)$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 20–27; Moscow University Mathematics Bulletin, 72:4 (2017), 154–160
Citation in format AMSBIB
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\paper Poincar\'e polynomial of the space $\overline{{\mathcal M}_{0,n}}({\mathbb C})$ and the number of points of the space $\overline{{\mathcal M}_{0,n}}({\mathbb F}_q)$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
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\issue 4
\pages 20--27
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