The Automorphism Group of Toric Deligne-Mumford Stacks
Yunfeng Jiang
TL;DR
This paper establishes that the automorphism group of a toric Deligne-Mumford stack is isomorphic to the 2-group derived from its stacky fan, providing a clear algebraic description of its symmetries.
Contribution
It proves the isomorphism between the automorphism group of a toric Deligne-Mumford stack and the associated 2-group of the stacky fan, clarifying the structure of its automorphisms.
Findings
Automorphism group is isomorphic to the 2-group of the stacky fan
Provides an explicit algebraic description of automorphisms
Enhances understanding of symmetries in toric Deligne-Mumford stacks
Abstract
We prove that the automorphism group of a toric Deligne-Mumford stack is isomorphic to the -group associated to the stacky fan.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology