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arxiv: math/0608549 · v2 · submitted 2006-08-22 · 🧮 math.AG

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

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keywords invariantsrealpezzosurfacestoricformularelativetropical
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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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