Jump to content

Toric stack

Add links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by 37.170.87.80 (talk) at 21:07, 7 April 2017. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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

References

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


Stub icon

This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Toric_stack&oldid=774351521"