Some modular compactifications of M_{2,n} by Gorenstein curves
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If you have a question about this talk, please contact Dhruv Ranganathan.
The DeligneMumford compactification Mbar_{g,n} of the moduli space of smooth marked curves is smooth with normal crossing boundary. In order to get an insight into its birational geometry, we may construct several different modular compactifications. I will discuss the geometry of isolated curve singularities of genus two, and one way of using them to replace genus two subcurves with few special points.
This talk is part of the Algebraic Geometry Seminar series.
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