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Curves in the complement of a smooth plane cubic whose normalizations are $\Bbb A^1$

Nobuyoshi Takahashi
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Abstract

For a smooth plane cubic $B$, we count curves $C$ of degree $d$ such that the normalizations of $C\backslash B$ are isomorphic to $\Bbb A^1$, for $d\leq7$ (for $d=7$ under some assumption). We also count plane rational quartic curves intersecting $B$ at only one point.

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Nobuyoshi Takahashi. 1996-05-13. Curves in the complement of a smooth plane cubic whose normalizations are $\Bbb A^1$. https://arxiv.org/abs/alg-geom/9605007

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