Positive divisors on quotients of M o,n and the Mori cone of M g,n

• Autores: Claudio Fontanari
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 4, 2009, págs. 454-457
• Idioma: inglés
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• Resumen

  • We prove that if m=n-3 then every Sm-invariant F-nef divisor on the moduli space of stable n-pointed curves of genus zero is linearly equivalent to an effective combination of boundary divisors. As an application, we determine the Mori cone of the moduli spaces of stable curves of small genus with few marked points.