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The moduli space of n-pointed stable curves of genus g is stratified by the topological type of the curves being parameterized: the closure of the locus of curves with k nodes has codimension k. The one-dimensional components of this stratification are smooth rational curves called F-curves. These are believed to determine all ample divisors. A divisor on is ample if and only if it positively intersects theF-curves.
A divisor on is ample if and only if it positively intersects theF-curves.
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