Recursive formulas for Welschinger invariants of the projective plane
  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. 
Aubin Arroyo, Erwan Brugalle, Lucia Lopez de Medrano