Curves on a ruled cubic surface

• Autores: John Brevik, Francesco Mordasini
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 54, Fasc. 3, 2003, págs. 269-282
• Idioma: inglés
• Títulos paralelos:
  • Curvas sobre una superficie cúbica reglada
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• Resumen

  • For the general ruled cubic surface S (with a double line) in P3 = P3 sub k, k any algebraically closed field, we find necessary conditions for which curves on S can be the specialization of a flat family of curves on smooth cubics. In particular, no smooth curve of degree > 10 on S is such a specialization.