Curves in the complement of a smooth plane cubic whose normalizations are \Bbb A¹

1996/05/13 by Nobuyoshi Takahashi, Takahashi, Nobuyoshi
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9605007

AMS-TeX, 25 pages

arxiv created 1996/05/13 · arxiv updated 2009/11/30

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 A¹, for d≤7 (for d=7 under some assumption). We also count plane rational quartic curves intersecting B at only one point.

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