A construction of the Deligne--Mumford orbifold

Mathematics – Symplectic Geometry

Scientific paper

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78 pages. See also http://www.math.ethz.ch/~salamon/ and http://www.math.wisc.edu/~robbin. Submitted to JEMS. Revised October

Scientific paper

We define the Deligne Mumford orbifold axiomatically by a universal mapping
property, show that this universal mapping property is equivalent to an
infinitessimal universal mapping property, and use the latter to give an
existence proof.

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