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arXiv · 0809.1541

Recursive formulas for Welschinger invariants of the projective plane

Aubin Arroyo·Erwan Brugalle·Lucia Lopez de Medrano
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Abstract

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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Aubin Arroyo, Erwan Brugalle, Lucia Lopez de Medrano. 2010-04-28. Recursive formulas for Welschinger invariants of the projective plane. https://arxiv.org/abs/0809.1541

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