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The Mori Cones Of Moduli Spaces Of Pointed Curves Of Small Genus

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, no. 3 (2003): 1183-1199

Cited: 60|Views21

Abstract

We compute the Mori cones of the moduli spaces (M) over bar (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 <(M)over bar>(g) is equivalent to an effective combination of the components of the locus of curves with 3g 4 nodes. We completely describe the cone...More

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