Abstract
We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky polytope and construct the symplectic Deligne–Mumford stack associated to the stacky polytope. Then we establish a relation between stacky polytopes and stacky fans: the stack associated to a stacky polytope is equivalent to the stack associated to a stacky fan if the stacky fan corresponds to the stacky polytope.
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Sakai, H. The Symplectic Deligne–Mumford Stack Associated to a Stacky Polytope. Results. Math. 63, 903–922 (2013). https://doi.org/10.1007/s00025-012-0240-3
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DOI: https://doi.org/10.1007/s00025-012-0240-3