Toric stack

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.

See also

• Stanley–Reisner ring

References

• I. Iwanari (2009), The category of toric stacks, Compositio Math., pp. 718–746, arXiv:math/0610548, doi:10.1112/S0010437X09003911
• Anton Geraschenko and Matthew Satriano. Toric stacks I: The theory of stacky fans. 2011. https://arxiv.org/abs/1107.1906
• Isamu Iwanari. Integral Chow Rings of Toric Stacks. IMRN, 2009.