Recursive Formulas for the Characteristic Numbers of Rational Plane Curves
Lars Ernström, Gary Kennedy
Abstract
We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditions, developing techniques akin to quantum cohomology on a moduli space of stable lifts.
Create a lesson
Related papers
Complements on surfaces
V. V. Shokurov
Isolated rational curves on K3-fibered Calabi-Yau threefolds
Torsten Ekedahl, Trygve Johnsen, Dag Einar Sommervoll
Cohomology of complete intersections in toric varieties
Anvar R. Mavlyutov
The Gross-Kohnen-Zagier theorem in higher dimensions
Richard E. Borcherds
Real deformations and complex topology of plane curve singularities
Norbert A'Campo
Irreducibility of the moduli space of vector bundles on surfaces and Brill-Noether theory on singular curves
Tomas L. Gomez