Mathematics – Algebraic Geometry
Scientific paper
2009-05-18
Mathematics
Algebraic Geometry
Main paper by Chen and Coskun, with a Macaulay 2 program in the appendix by Crissman to verify certain moving curves
Scientific paper
We introduce and compute the class of a number of effective divisors on the moduli space of stable maps $\bar M_{0,0}(P^{r},d)$, which, for small d, provide a good understanding of the extremal rays and the stable base locus decomposition for the effective cone. We also discuss various birational models that arise in Mori's program, including the Hilbert scheme, the Chow variety, the space of $k$-stable maps, the space of branchcurves and the space of semi-stable sheaves.
Chen Dawei
Coskun Izzet
Crissman Charley
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