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Sep 19, 2023 at 20:41 comment added Marco Golla You can also do an irreducible nodal curve, and then you get the complement of a plumbing where you have a bunch of pairwise disjoint (-2)-curves, each intersecting the lift of the $C$ transversally twice, in a degree-$d$ hypersurface in $\mathbb{CP}^3$.
Sep 19, 2023 at 17:53 history edited Donu Arapura CC BY-SA 4.0
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S Sep 19, 2023 at 14:36 history answered Donu Arapura CC BY-SA 4.0
S Sep 19, 2023 at 14:36 history made wiki Post Made Community Wiki by Donu Arapura