A construction of the Deligne--Mumford orbifold
Symplectic Geometry
2007-05-23 v4 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0407090,
title = {A construction of the Deligne--Mumford orbifold},
author = {Joel W. Robbin and Dietmar A. Salamon},
journal= {arXiv preprint arXiv:math/0407090},
year = {2007}
}
Comments
78 pages. See also http://www.math.ethz.ch/~salamon/ and http://www.math.wisc.edu/~robbin. Submitted to JEMS. Revised October 2005