New Cases of Logarithmic Equivalence of Welschinger and Gromov–Witten Invariants

We consider $\mathbb P^1\times\mathbb P^1$ equipped with the complex conjugation $(x,y)\mapsto(\bar y,\bar x)$ 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.