In algebraic geometry, a Deligne–Mumford stack is a stack that behaves, in many respects, like an algebraic variety or an orbifold, while still allowing mild stacky phenomena such as finite stabilizer groups. More precisely, a stack F {\displaystyle F} over schemes is Deligne–Mumford if its diagonal is sufficiently well behaved and if it admits an étale surjective cover by a scheme (an atlas).
In algebraic geometry, a Deligne–Mumford stack is a stack that behaves, in many respects, like an algebraic variety or an orbifold, while still allowing mild stacky phenomena such as finite stabilizer groups. More precisely, a stack F {\displaystyle F} over schemes is Deligne–Mumford if its diagonal is sufficiently well behaved and if it admits an étale surjective cover by a scheme (an atlas).
Source: Wikipedia "Deligne–Mumford stack" · CC BY-SA 4.0
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