Recursive Formulas for Welschinger Invariants of the Projective Plane
Aubin Arroyo, Erwan Brugallé, Lucía López de Medrano · International Mathematics Research Notices · 2010
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 establish a Caporaso–Harris type formula which allows one to compute Welschinger invariants for configurations of points with any number of complex conjugated points.