Intersecting psi-classes on tropical Hassett spaces

Marvin Anas Hahn, Shiyue Li · Combinatorial Theory · 2022

We study the intersection of tropical \(\psi\)-classes on tropical heavy/light Hassett spaces, generalising a result of Kerber-Markwig for \(M^{\operatorname{trop}}_{0, n}\). 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.Mathematics Subject Classifications: 14T90, 14N35Keywords: Tropical intersection theory, Hassett spaces, \(\psi\)-classes

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