New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants
Ilia Itenberg, Viatcheslav Mikhailovich Kharlamov, Eugeniĭ Shustin · Proceedings of the Steklov Institute of Mathematics · 2007
We consider ℙ1 × ℙ1 equipped with the complex conjugation (x, y) ↦ $$(\bar y,\bar x)$$ and blown up in at most two real or two complex conjugate points. For these four surfaces we prove the logarithmic equivalence of Welschinger and Gromov-Witten invariants.