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ginevra86
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Given a representable morphisms $f:\mathcal{X}\to\mathcal{Y}$ of Artin stacks, do the fibers of $f$ have always positivenonnegative dimension? If not, can you give me some examples of what can happen?

Given a representable morphisms $f:\mathcal{X}\to\mathcal{Y}$ of Artin stacks, do the fibers of $f$ have always positive dimension? If not, can you give me some examples of what can happen?

Given a representable morphisms $f:\mathcal{X}\to\mathcal{Y}$ of Artin stacks, do the fibers of $f$ have always nonnegative dimension? If not, can you give me some examples of what can happen?

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ginevra86
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Representable morphisms of Artin stacks.

Given a representable morphisms $f:\mathcal{X}\to\mathcal{Y}$ of Artin stacks, do the fibers of $f$ have always positive dimension? If not, can you give me some examples of what can happen?