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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
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Proving that a map is a morphism
Example : Consider the (open, not compactified) moduli space of stable maps $ \mathcal M_g(1,d)$ of maps of smooth curves of genus $ g$ to $\mathbb P^1$. To each map
we associate its branch divisor, w …