Recursive formulas for Welschinger invariants of the projective plane
arXiv:0809.1541
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.
18 pages, 2 figures