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

1 vote

Is the smooth locus of a Q-Fano 3-fold rationally connected?

No. He proved that log $Q$-Fano varieties are rationally connected. It is possible that all the rational curves pass through some singular points. I want to know if there are rational curves in the sm …
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