### 112.5.8 Stacky curves

Papers discussing stacky curves.

Abramovich, Vistoli:

*Compactifying the space of stable maps*[abramovich-vistoli]This paper introduces

*twisted curves*. The moduli space of stable maps from stable curves into an algebraic stack is typically not compact. By using maps from twisted curves, the authors construct a moduli stack which is proper when the target is a tame Deligne-Mumford stack whose coarse moduli space is projective.Behrend, Noohi:

*Uniformization of Deligne-Mumford curves*[behrend-noohi]Proves a uniformization theorem of Deligne-Mumford analytic curves.

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