What are some examples of coarse moduli spaces?

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It took me some effort to work out Gerashenko’s nice simple example Can a singular Deligne-Mumford stack have a smooth coarse space? of a DM stack non-equisingular with its coarse moduli space, which means I must improve my understanding of coarse moduli spaces.

What are your favourite examples of coarse moduli spaces? One per answer, please, so we can rank them.

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271978d9620267764782ca251ee1150cc70bd298 18

Here you go!

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