Presented By: Student Algebraic Geometry Seminar - Department of Mathematics
Compactifying the universal elliptic curve using toric geometry
Hyunsuk Kim
One can compactify the universal elliptic curve by the following strategy: the moduli is an open 1-dimensional variety, so you can uniquely compactify it. And then the universal elliptic curve is 2-dimensional, so you can compactify whatever you want and choose the minimal resolution. I'll try to convince you that this is bad and explain how you can do better in a systematic way.
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