Enumeration Of Rational Plane Curves Tangent To A Smooth Cubic
Advances In Mathematics
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 View the MathML sourceP²_E,r for r large, where View the MathML sourceP²_E,r is the r th root of P² along E. We prove that certain Gromov–Witten invariants of this stack are enumerative, and establish recursive formulas for these numbers.
C. Cadman and Linda Chen.
"Enumeration Of Rational Plane Curves Tangent To A Smooth Cubic".
Advances In Mathematics.