Enumeration of rational plane curves tangent to a smooth cubic

• Autores: Charles Cadman, Linda Chen
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 1, 2008, págs. 316-343
• Idioma: inglés
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• Resumen

  • We compute the number of rational degree d plane curves having prescribed fixed and moving contacts to a smooth plane cubic E. We use twisted stable maps to the stack for r large, where is the rth root of along E. We prove that certain Gromov�Witten invariants of this stack are enumerative, and establish recursive formulas for these numbers