Modular compactifications of the space of pointed elliptic curves II

By D. Smyth. Compositio Mathematica, 2010

67 citations recorded by the source corpus.

Abstract 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 $\overline {M}_{1,n}$.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c3f7121e03314a298b097a24696bf4ed0bac82da

How researchers see this paper

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In Geometry and Topology

1. Maksym Fedorchuk
2. D. Smyth
3. M. Aprodu
4. Stefan Papadima
5. Jerzy Weyman
6. Claudiu Raicu
7. G. Farkas
8. A. Verra

In Mathematical Physics

1. Maksym Fedorchuk
2. D. Smyth
3. M. Aprodu
4. Jerzy Weyman
5. Claudiu Raicu
6. Stefan Papadima
7. G. Farkas
8. A. Verra

Citations in the corpus

• Koszul modules and Green’s conjecture (2018, background): “The following result is hinted at in [28].”
• Alternate Compactifications of Moduli Spaces of Curves (2010, background): “In [Smy11a], it is shown that the class of (m,A)-stable curves is deformation open and satisfies the unique limit property.”