Positive divisors on quotients of M0,n and the Mori cone of Mg,n

نویسنده

  • Claudio Fontanari
چکیده

We prove that ifm ≥ 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.

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تاریخ انتشار 2008