Mori's Program for the Kontsevich Moduli Space 
Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, MA 02138, USA
Correspondence: Correspondence to be sent to: dchen{at}math.harvard.edu
We run Mori's program for the Kontsevich space of stable maps 
and give modular interpretations of all the intermediate spaces appearing in the process. In particular, we show that the closure of the twisted cubic curves in the Hilbert scheme 
is the flip of 
over the Chow variety.
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