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Rational cuspidal plane curves of type (d, d-3)

1997/09/01 by Hubert Flenner, H. Flenner, M. Zaidenberg +3
Engineering · Mathematics · #Advanced Algebra and Geometry #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9709001

17 Pages. Latex

openalex publication_date 1997/09/01 · arxiv created 1997/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the previous paper [E-print alg-geom/9507004] we classified the rational cuspidal plane curves C with a cusp of multiplicity deg C - 2. In particular, we showed that any such curve can be transformed into a line by Cremona transformations. Here we do the same for the rational cuspidal plane curves C with a cusp of multiplicity deg C - 3.

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