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

arXiv:math/0608549

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.

47 pages, 6 figures; recursive formulas corrected (missing terms added)