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A construction of the Deligne--Mumford orbifold

Joel W. Robbin·Dietmar A. Salamon
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Abstract

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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Joel W. Robbin, Dietmar A. Salamon. 2005-10-12. A construction of the Deligne--Mumford orbifold. https://arxiv.org/abs/math/0407090

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