New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants

Abstract

We consider the product of two projective lines equipped with the complex conjugation transforming (x,y) into (y,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.

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