Intersection numbers on fibrations and Catalan numbers
Algebraic Geometry
2022-10-06 v1 Combinatorics
Abstract
On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.
Cite
@article{arxiv.2210.02001,
title = {Intersection numbers on fibrations and Catalan numbers},
author = {Rimma Hämäläinen and Jason Lo and Edward Morales},
journal= {arXiv preprint arXiv:2210.02001},
year = {2022}
}
Comments
9 pages