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A construction of the Deligne--Mumford orbifold

2004/07/06 by Joel W. Robbin, Robbin, Joel W., Dietmar Salamon +2 · 1 citation
Mathematics · #32G15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:32G15

paper · pdf · doi:10.48550/arxiv.math/0407090

78 pages. See also http://www.math.ethz.ch/~salamon/ and http://www.math.wisc.edu/~robbin. Submitted to JEMS. Revised October 2005

openalex publication_date 2004/07/06 · arxiv created 2005/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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