Geometry of complete cuspidal plane cubics

  • J. M. Miret
  • S. Xambó Descamps
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1389)


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.


Cross Ratio Triple Line Chow Group Fundamental Number Plane Cubics 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • J. M. Miret
    • 1
  • S. Xambó Descamps
    • 1
  1. 1.Dept. Àlgebra i GeometriaUniv. BarcelonaBarcelonaSpain

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