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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
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Are morphism from $\mathbb{P}^{1}$ to itself often liftable to a morphism from a curve to an...
(all morphism here means birational)
(the ground field is "small", but I don't think it should matter)
Here is the picture. I have a morphism $f:\mathbb{P}^{1}\rightarrow\mathbb{P}^{1}$. I want to lif …