We study the growth of the genus zero Gromov-Witten invariants GW nD of the projective plane Pk2 blown up at k points (where D is a class in the second homology group of Pk 2). We prove that, under some natural restrictions on D, the sequence log GWnD is equivalent to λn log n, where λ = D. c1(Pk2).
- Gromov-witten invariants
- Rational and ruled algebraic surfaces
- Rational and ruled symplectic 4-manifolds
- Tropical enumerative geometry