In algebraic geometry, a toric stack is a stacky generalization of a toric variety. More precisely, a toric stack is obtained by replacing in the construction of a toric variety a step of taking GIT quotients with that of taking quotient stacks. Consequently, a toric variety is a coarse approximation of a toric stack. A toric orbifold is an example of a toric stack.
References
References
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- Geraschenko, Anton; Satriano, Matthew (2015). "Toric stacks I: The theory of stacky fans". Transactions of the American Mathematical Society. 367 (2): 1033–1071. arXiv:1107.1906. doi:10.1090/S0002-9947-2014-06063-7. S2CID 5667546.
- Iwanari, I. (2009). "Integral Chow Rings of Toric Stacks". International Mathematics Research Notices. arXiv:0705.3524. doi:10.1093/imrn/rnp110. S2CID 12047977.