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On Schubert's degenerations of cuspidal plane cubics

Part of the Lecture Notes in Mathematics book series (LNM,volume 1436)

Abstract

In this paper we prove that the variety of complete cuspidal cubics is smooth in codimension one and that there are no first order degenerations other than Schubert's 13. We also establish a number of properties of cuspidal cubics that give a geometric understanding of the “Stammzahlen” tables of Schubert.

Keywords

  • Tangent Line
  • Exceptional Divisor
  • Double Line
  • Triple Line
  • Simple Line

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

The authors were partially supported by the CAICYT and DGICYT

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© 1990 Springer-Verlag

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Miret, J.M., Xambó Descamps, S. (1990). On Schubert's degenerations of cuspidal plane cubics. In: Xambó-Descamps, S. (eds) Enumerative Geometry. Lecture Notes in Mathematics, vol 1436. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084046

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  • DOI: https://doi.org/10.1007/BFb0084046

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52811-1

  • Online ISBN: 978-3-540-47154-7

  • eBook Packages: Springer Book Archive