Counting lattice points in the moduli space of curves

• Autores: Paul Norbury
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 467-482
• Idioma: inglés
• DOI: 10.4310/mrl.2010.v17.n3.a7
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• Resumen

  • We show how to define and count lattice points in the moduli space $\modm_{g,n}$ of genus $g$ curves with $n$ labeled points. This produces a polynomial with coefficients that include the Euler characteristic of the moduli space, and tautological intersection numbers on the compactified moduli space.