Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers
Algebraic Geometry
2022-08-03 v2 Combinatorics
Abstract
We associate a complete non-singular fan with a polygon triangulation. Such a fan appears from a certain toric Richardson variety, called of Catalan type introduced in this paper. A toric Richardson variety of Catalan type is a Fano Bott manifold. We show that toric Richardson varieties of Catalan type are classified up to isomorphism in terms of unordered binary trees. In particular, the number of isomorphism classes of -dimensional toric Richardson varieties of Catalan type is the th Wedderburn--Etherington number.
Keywords
Cite
@article{arxiv.2105.12274,
title = {Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers},
author = {Eunjeong Lee and Mikiya Masuda and Seonjeong Park},
journal= {arXiv preprint arXiv:2105.12274},
year = {2022}
}