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Modular compactifications of the space of pointed elliptic curves II

Part of: Birational geometry Curves

Published online by Cambridge University Press:  30 August 2011

David Ishii Smyth
David Ishii Smyth*
Affiliation:
Department of Mathematics, Harvard University, Cambridge, MA 02138, USA (email: dsmyth@math.harvard.edu)
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Abstract

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We prove that the moduli spaces of n-pointed m-stable curves introduced in our previous paper have projective coarse moduli. We use the resulting spaces to run an analogue of Hassett’s log minimal model program for .

Keywords

moduli of curveselliptic curvesminimal model program

MSC classification

Secondary: 14H10: Families, moduli (algebraic) 14H20: Singularities, local rings 14E30: Minimal model program (Mori theory, extremal rays)
Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 6 , November 2011 , pp. 1843 - 1884
Copyright
Copyright © Foundation Compositio Mathematica 2011

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