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Jan 16, 2023 at 10:03 comment added MathBug @JasonStarr could you elaborate a bit more on why there is no surface $S$ as asked? Thanks.
Jan 14, 2023 at 21:43 comment added Jason Starr No that does not always exist. Consider the germ at the vertex of a cone over a smooth plane cubic, and let the curve be the line through the vertex corresponding to a nontorsion point on the plane cubic (use one of the flex points as the origin).
Jan 14, 2023 at 21:09 history asked MathBug CC BY-SA 4.0