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

I. Itenberg, V. Kharlamov, E. Shustin

Research output: Contribution to journalArticlepeer-review

Abstract

We consider ℙ1 × ℙ1 equipped with the complex conjugation (x, y) → (ȳ,x̄) 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.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalProceedings of the Steklov Institute of Mathematics
Volume258
Issue number1
DOIs
StatePublished - Sep 2007

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