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arxiv: 0809.1541 · v2 · submitted 2008-09-09 · 🧮 math.AG · math.CO

Recursive formulas for Welschinger invariants of the projective plane

classification 🧮 math.AG math.CO
keywords invariantswelschingerplanepointsprojectiveallowscalledcaporaso-harris
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Welschinger invariants of the real projective plane can be computed via the enumeration of enriched graphs, called marked floor diagrams. By a purely combinatorial study of these objects, we prove a Caporaso-Harris type formula which allows one to compute Welschinger invariants for configurations of points with any number of complex conjugated points.

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