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arXiv · 1009.3547

The symplectic Deligne-Mumford stack associated to a stacky polytope

Hironori Sakai
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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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Hironori Sakai. 2010-09-18. The symplectic Deligne-Mumford stack associated to a stacky polytope. https://doi.org/10.1007/s00025-012-0240-3

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