New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants |
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| Authors: | I Itenberg V Kharlamov E Shustin |
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| Institution: | (1) Université Louis Pasteur et IRMA, 7, rue René Descartes, 67084 Strasbourg Cedex, France;(2) School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel |
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| Abstract: | We consider ℙ1 × ℙ1 equipped with the complex conjugation (x, y) ↦
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.
To Vladimir Igorevich Arnold on his 70th birthday |
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