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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2007 Volume 258, Pages 70–78 (Mi tm477)

This article is cited in 11 papers

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

I. V. Itenberga, V. M. Kharlamova, E. I. Shustinb

a University Louis Pasteur
b Tel Aviv University, School of Mathematical Sciences

Abstract: 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.

UDC: 512.7

Received in November 2006

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics, 2007, 258, 65–73

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