Enumerative geometry of divisorial families of rational curves

• Ziv Ran ^[1]
  1. [1] University of California, USA
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 1, 2004, págs. 67-85
• Idioma: inglés
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• Resumen

  • Abstract. We compute the number of irreducible rational curves of given degree with 1 tacnode in P2 or 1 node in P3 meeting an appropriate generic collection of points and lines. As a byproduct, we also compute the number of rational plane curves of degree d passing through 3d − 2 given points and tangent to a given line.

    The method is ‘classical’, free of Quantum Cohomology.