The birational geometry of Kontsevich moduli spaces

The birational geometry of Kontsevich moduli spaces

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Izzet Coskun, University of Illinois at Chicago (UIC)
Fine Hall 322

I will describe the stable base loci of linear systems on the Kontsevich moduli spaces of maps to projective spaces and Grassmannians. This description allows us to run the log minimal model program for these moduli spaces in small degree. I will give some examples where interesting classical moduli spaces occur. This is joint work with Dawei Chen and builds on previous work with Joe Harris and Jason Starr.