A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
Algebraic Geometry
2009-01-20 v2
Abstract
We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative Gromov-Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.
Keywords
Cite
@article{arxiv.math/0608549,
title = {A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces},
author = {Ilia Itenberg and Viatcheslav Kharlamov and Eugenii Shustin},
journal= {arXiv preprint arXiv:math/0608549},
year = {2009}
}
Comments
47 pages, 6 figures; recursive formulas corrected (missing terms added)