Intersection numbers on tropical Hassett spaces
Combinatorics
2022-10-19 v2 Algebraic Geometry
Abstract
We study the intersection of tropical psi-classes on tropical heavy/light Hassett spaces, generalising a result of Kerber--Markwig for tropical moduli spaces of rational stable curves with distinct marked points. Our computation reveals that the weight of a maximal cone in an intersection has a combinatorial intepretation in terms of the underlying tropical curve and it is always nonnegative. In particular, our result specialises to that, in top dimension, the tropical intersection product coincides with its classical counterpart.
Cite
@article{arxiv.2108.00875,
title = {Intersection numbers on tropical Hassett spaces},
author = {Marvin Anas Hahn and Shiyue Li},
journal= {arXiv preprint arXiv:2108.00875},
year = {2022}
}
Comments
27 pages; v2 with improved readability