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

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

2006-12-27

arxiv.org/abs/math/0612782v1

Mathematics

Algebraic Geometry

13 pages, 6 figures

Scientific paper

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

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