The symplectic Deligne-Mumford stack associated to a stacky polytope

Details The symplectic Deligne-Mumford stack associated to a stacky polytope The symplectic Deligne-Mumford stack associated to a stacky polytope

2010-09-18

arxiv.org/abs/1009.3547v4

Mathematics

Symplectic Geometry

20 pages; v2: To appear in Results in Mathematics

Scientific paper

10.1007/s00025-012-0240-3

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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