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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn067, 17 pages, doi:10.1093/imrn/rnn067 published on July 3, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org.

Mori's Program for the Kontsevich Moduli Space Formula

Dawei Chen

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 Formula 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 Formula is the flip of Formula over the Chow variety.


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