On rational cuspidal projective plane curves

Details On rational cuspidal projective plane curves On rational cuspidal projective plane curves

2004-10-28

arxiv.org/abs/math/0410611v2

Mathematics

Algebraic Geometry

Proofs of two important results of the first version used an incomplete classification theorem, accepted by the authors withou

Scientific paper

In the open problem of classification of rational cuspidal plane curves it is essential to find good necessary conditions on the type of singularities of a curve C in order C to exit. Motivated by the study of the Seiberg-Witten invariant of normal surface singularities whose link is a rational homology sphere we have found good candidates for such necessary conditions. In this paper we study this compatibility conditions and proved them for all curves whose logarithmic Kodaira dimension is strictly less than 2.

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