Journal of Algebraic Geometry

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		Online ISSN 1534-7486; Print ISSN 1056-3911

Ample divisors on moduli spaces of pointed rational curves

Author(s): Maksym Fedorchuk; David Ishii Smyth
Journal: J. Algebraic Geom. 20 (2011), 599-629.
Posted: January 25, 2011
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Abstract | References | Additional information

Abstract: We introduce a new technique for proving positivity of certain divisor classes on $\overline{M}_{0,n}$ and its weighted variants $\overline{M}_{0,\mathcal{A}}$ . Our methods give a complete description of the models arising in the Hassett's log minimal model program for $\overline{M}_{0,n}$ .

References:

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Additional Information:

Maksym Fedorchuk
Affiliation: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
Email: mfedorch@math.columbia.edu

David Ishii Smyth
Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
Email: dsmyth@math.harvard.edu
DOI: 10.1090/S1056-3911-2011-00547-X
PII: S 1056-3911(2011)00547-X
Received by editor(s): December 8, 2008
Received by editor(s) in revised form: September 25, 2009
Posted: January 25, 2011
Additional Notes: The second author was partially supported by a Clay Mathematics Institute Liftoff Fellowship during the preparation of this paper.

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