The Coherent-Constructible Correspondence for Toric Deligne-Mumford Stacks

الأصل · EN

We extend our previous work arXiv:1007.0053 on coherent-constructible correspondence for toric varieties to include toric Deligne-Mumford (DM) stacks. Following Borisov-Chen-Smith, a toric DM stack is described by a "stacky fan" =(N,,β), where N is a finitely generated abelian group and is a simplicial fan in N=N⊗. From we define a conical Lagrangian Λ inside the cotangent T*M of the dual vector space M of N, such that torus-equivariant, coherent sheaves on are equivalent to constructible sheaves on M with singular support in.