The mori cones of moduli spaces of pointed curves of small genus
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We compute the Mori cones of the moduli spaces M g,n of n pointed stable curves of genus g, when g and n are relatively small. For instance we show that for g < 14 every curve in Mg is equivalent to an effective combination of the components of the locus of curves with 3g - 4 nodes. We completely describe the cone of nef divisors for the space M 0,6 , thus verifying Fulton's conjecture for this space. Using this description we obtain a classification of all the fibrations of M 0,6 .
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2916d0afa3ff5f722ee9eb6419a2424bf18e06ac
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Alternate Compactifications of Moduli Spaces of Curves (2010, background): “ure, which if true would imply Conjecture3.9. Conjecture 3.14. Every F-nef divisor on M0;n is an eective combination of boundary divisors. This conjecture was veried for n= 5;6 by Farkas and Gibney [FG03] and for n= 7 by Larsen [Lar09]. The special case of Sm-invariant (mn 3) divisors was establishe”