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

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

2006-08-22

arxiv.org/abs/math/0608549v2

Comment. Math. Helv. 84 (2009), 87--126

Mathematics

Algebraic Geometry

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

Scientific paper

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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