We obtain new examples and the complete list of the rational cuspidal plane curves C with at least three cusps, one of which has multiplicity deg C-2. It occurs that these curves are projectively rigid. We also discuss the general problem of projective rigidity of rational cuspidal plane curves.
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Univ Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, C Senda Rey 9, Madrid 28040, SpainUniv Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, C Senda Rey 9, Madrid 28040, Spain
De Bobadilla, J. Fernandez
Luengo, I.
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Univ Complutense, Fac Matemat, E-28040 Madrid, SpainUniv Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, C Senda Rey 9, Madrid 28040, Spain
Luengo, I.
Melle-Hernandez, A.
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Univ Complutense, Fac Matemat, E-28040 Madrid, SpainUniv Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, C Senda Rey 9, Madrid 28040, Spain
Melle-Hernandez, A.
Nemethi, A.
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Ohio State Univ, Dept Math, Columbus, OH 43210 USA
Renyi Inst Math, Budapest, HungaryUniv Nacl Educ Distancia, Fac Ciencias, Dept Matemat Fundamentales, C Senda Rey 9, Madrid 28040, Spain