Logarithmic asymptotics of the genus zero Gromov–Witten invariants of the blown up plane
Ilia Itenberg, Viatcheslav Kharlamov, Eugeniĭ Shustin · 2005
We show that the genus zero Gromov-Witten invariants of the plane P 2 k blown up at k points satisfy the following asymptotic relation log GWnD(P lim n→+∞ 2 k) = D · c1(P n log n 2 k), for any D ∈ H2(P2 k; Z) such that GWD(P2 k) ̸ = 0 and either D · c1(P2 k)> 2, or D · c1(P2 k) = 2 and D2> 0.