Document Type
Article
Publication Date
9-10-2008
Published In
Advances In Mathematics
Abstract
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.
Recommended Citation
C. Cadman and Linda Chen.
(2008).
"Enumeration Of Rational Plane Curves Tangent To A Smooth Cubic".
Advances In Mathematics.
Volume 219,
Issue 1.
316-343.
DOI: 10.1016/j.aim.2008.04.013
https://works.swarthmore.edu/fac-math-stat/128
Comments
This work is a preprint that is freely available from arXiv.org at arXiv:math/0701406v2, courtesy of Elsevier and Academic Press. The final published version is available on the publisher's website.