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

Ilia Itenberg·Viatcheslav Kharlamov·Eugenii Shustin
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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.

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Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin. 2009-01-20. A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. https://arxiv.org/abs/math/0608549

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