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Log canonical models for the moduli space of stable pointed rational curves


Author: Han-Bom Moon
Journal: Proc. Amer. Math. Soc. 141 (2013), 3771-3785
MSC (2010): Primary 14D20, 14E30, 14H10
DOI: https://doi.org/10.1090/S0002-9939-2013-11674-6
Published electronically: July 17, 2013
MathSciNet review: 3091767
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Abstract: We run Mori's program for the moduli space of stable pointed rational curves with divisor $ K +\sum a_{i}\psi _{i}$. We prove that the birational model for the pair is either the Hassett space of weighted pointed stable rational curves for the same weights or the GIT quotient of the product of projective lines with the linearization given by the same weights.


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Additional Information

Han-Bom Moon
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
Email: hbmoon@math.uga.edu

DOI: https://doi.org/10.1090/S0002-9939-2013-11674-6
Received by editor(s): October 3, 2011
Received by editor(s) in revised form: January 21, 2012
Published electronically: July 17, 2013
Communicated by: Lev Borisov
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.