A construction of the Deligne--Mumford orbifold
classification
🧮 math.SG
math.AG
keywords
mappingpropertyuniversalorbifoldaxiomaticallyconstructiondefinedeligne
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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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