Recursive formulas for Welschinger invariants of the projective plane

Details Recursive formulas for Welschinger invariants of the projective plane Recursive formulas for Welschinger invariants of the projective plane

2008-09-09

arxiv.org/abs/0809.1541v2

Mathematics

Algebraic Geometry

18 pages, 2 figures

Scientific paper

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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