Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Ample divisors on moduli spaces of pointed rational curves


Authors: Maksym Fedorchuk and David Ishii Smyth
Journal: J. Algebraic Geom. 20 (2011), 599-629
DOI: https://doi.org/10.1090/S1056-3911-2011-00547-X
Published electronically: January 25, 2011
MathSciNet review: 2819671
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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}$.


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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: https://doi.org/10.1090/S1056-3911-2011-00547-X
Received by editor(s): December 8, 2008
Received by editor(s) in revised form: September 25, 2009
Published electronically: January 25, 2011
Additional Notes: The second author was partially supported by a Clay Mathematics Institute Liftoff Fellowship during the preparation of this paper.

American Mathematical Society