Abstract
We show how to compute all fundamental numbers for plane cuspidal cubics. This updates and extends the work of Schubert on this subject. In our approach we need a far more precise description of the first order degenerations (13 in all) than that given by Schubert and this is obtained by proving a number of key geometric relations that are satisfied by cuspidal cubics. Moreover, our procedure does not require using coincidence formulas to derive the basic degeneration relations.
The authors were partially supported by the CAYCIT and DGICYT
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© 1989 Springer-Verlag
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Miret, J.M., Xambó Descamps, S. (1989). Geometry of complete cuspidal plane cubics. In: Ballico, E., Ciliberto, C. (eds) Algebraic Curves and Projective Geometry. Lecture Notes in Mathematics, vol 1389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085933
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DOI: https://doi.org/10.1007/BFb0085933
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