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arxiv: math/0612782 · v1 · submitted 2006-12-27 · 🧮 math.AG · math.SG

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

classification 🧮 math.AG math.SG
keywords complexequivalencegromov-witteninvariantslogarithmicwelschingerblowncases
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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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