JournalscmhVol. 84, No. 1pp. 87–126

A Caporaso–Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces

  • Ilia Itenberg

    Université de Strasbourg, France
  • Viatcheslav Kharlamov

    Université de Strasbourg, France
  • Eugenii Shustin

    Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv, Israel
A Caporaso–Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces cover
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Abstract

We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative Gromov–Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.

Cite this article

Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin, A Caporaso–Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. Comment. Math. Helv. 84 (2009), no. 1, pp. 87–126

DOI 10.4171/CMH/153