Can a singular Deligne-Mumford stack have a smooth coarse space?

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Let XX be a Deligne-Mumford stack and let XX \to X be a coarse moduli space. Suppose that X is smooth. Is XX smooth? If not, what is an example? What if XX is of finite type over C (the complex numbers)? What are conditions we can put on XX to make this true?

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This is the required solution to the above question.

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