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 | References | Similar Articles | Additional Information

Abstract: We run Mori's program for the moduli space of stable pointed rational curves with divisor . 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.