Refined count for rational tropical curves in arbitrary dimension
Algebraic Geometry
2021-03-24 v5
Abstract
In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by F. Block and L. G\"ottsche in arXiv:1407.2901 . We then prove an invariance statement for the count of rational tropical curves in several enumerative problems using this new refined multiplicity. This leads to the definition of Block-G\"ottsche polynomials in any dimension.
Keywords
Cite
@article{arxiv.2010.05777,
title = {Refined count for rational tropical curves in arbitrary dimension},
author = {Thomas Blomme},
journal= {arXiv preprint arXiv:2010.05777},
year = {2021}
}
Comments
32 pages + 6 pages of appendix. References added and typos corrected