Recursive formulas for Welschinger invariants of the projective plane
Algebraic Geometry
2010-04-29 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.0809.1541,
title = {Recursive formulas for Welschinger invariants of the projective plane},
author = {Aubin Arroyo and Erwan Brugalle and Lucia Lopez de Medrano},
journal= {arXiv preprint arXiv:0809.1541},
year = {2010}
}
Comments
18 pages, 2 figures