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Lennart Meier
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I am looking for examples of Deligne-Mumford stacks whose coarse moduli space is $\mathbb{A}^n$ or at least an open subscheme of $\mathbb{A}^n$ whose complement has codimension $2$. (Thus the whole interesting part of the stack lies in its stackiness.) The stacks should "come up in nature". Obvious examples are classifying stacks of etale group schemes and, more interestingly, the moduli stack of elliptic curves. Are there more examples?

Edit: I'm especially interested in stacks that naturally arise as "moduli stacks of something" (although this is, of course, not a well-defined mathematical category).

I am looking for examples of Deligne-Mumford stacks whose coarse moduli space is $\mathbb{A}^n$ or at least an open subscheme of $\mathbb{A}^n$ whose complement has codimension $2$. (Thus the whole interesting part of the stack lies in its stackiness.) The stacks should "come up in nature". Obvious examples are classifying stacks of etale group schemes and, more interestingly, the moduli stack of elliptic curves. Are there more examples?

I am looking for examples of Deligne-Mumford stacks whose coarse moduli space is $\mathbb{A}^n$ or at least an open subscheme of $\mathbb{A}^n$ whose complement has codimension $2$. (Thus the whole interesting part of the stack lies in its stackiness.) The stacks should "come up in nature". Obvious examples are classifying stacks of etale group schemes and, more interestingly, the moduli stack of elliptic curves. Are there more examples?

Edit: I'm especially interested in stacks that naturally arise as "moduli stacks of something" (although this is, of course, not a well-defined mathematical category).

Source Link
Lennart Meier
  • 12.1k
  • 4
  • 73
  • 107

Interesting stacks with affine space as coarse moduli

I am looking for examples of Deligne-Mumford stacks whose coarse moduli space is $\mathbb{A}^n$ or at least an open subscheme of $\mathbb{A}^n$ whose complement has codimension $2$. (Thus the whole interesting part of the stack lies in its stackiness.) The stacks should "come up in nature". Obvious examples are classifying stacks of etale group schemes and, more interestingly, the moduli stack of elliptic curves. Are there more examples?