Refined count of real oriented rational curves
Algebraic Geometry
2021-07-16 v1
Abstract
We introduce a \textit{quantum index} for oriented real curves inside toric varieties. This quantum index is related to the computation of the area of the amoeba of the curve for some chosen 2-form. We then make a refined signed count of oriented real rational curves solution to some enumerative problem. This generalizes the results from G. Mikhalkin arXiv:1505.04338 to higher dimension. Finally, we use the tropical approach to relate these new refined invariants to previously known tropical refined invariants.
Cite
@article{arxiv.2107.07286,
title = {Refined count of real oriented rational curves},
author = {Thomas Blomme},
journal= {arXiv preprint arXiv:2107.07286},
year = {2021}
}
Comments
37 pages, 1 figure