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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Pullback of a nef divisor under a finite morphism.

If $X \rightarrow Y$ is a finite morphism of surfaces and $D$ is a nef divisor on $Y$, is the pullback of $D$ nef on X? I am interested in finite covers of Hirzebruch surfaces and need to know if some …
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