|WikiProject Mathematics||(Rated C-class, Mid-importance)|
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The reason for moving this away from Stack (descent theory) was good but childishly naive. It didn't seem to occur to the person proposing this that the lay reader seeing "descent theory" would probably think it's about genealogy, or otherwise fail to realize it's about mathematics. Things like that should be borne in mind when choosing article titles! If Wikipedia were supposed to be simply an encyclopedia of mathematics, that would be another story.
But now we have this problem: Some pages link to Stack (descent theory). Linking through a redirect is not always really a problem, but in this case the present title seems clearly preferable. I've fixed _some_ of those links. Can others help with that too? Michael Hardy (talk) 18:53, 30 May 2013 (UTC)
What does "stacky" mean?
- I don't think it has any technically specific meaning; but it usually means "related to stacks". For another example, see Behrend's trace formula, which talks about the "stacky way" of counting objects (namely don't ignore automorphisms). -- Taku (talk) 20:47, 26 August 2015 (UTC)
I think the example of a stack that is not a global quotient is wrong. The constant group scheme Z/2 x S_3 acts on both Z/2 and S_3 (both also constant group schemes, say we are over a field) in the natural way. The quotient stack [S_3 \cup Z/2 / Z/2 x S_3] is exactly B Z/2 \cup B S_3. — Preceding unsigned comment added by 22.214.171.124 (talk) 21:10, 27 August 2017 (UTC)
- Mention isomorphism between and the moduli space of elliptic curves.
- Discuss examples of sheaves. Start with line bundles over weighted projective spaces and show they behave just like in the projective case.
- Explain sheaf cohomology computations on stacks
- Discuss types of morphisms of stacks similar to schemes (e.g. quasicompact, flat, etc.)