The Stacks project

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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