Cluster type varieties
Algebraic Geometry
2026-03-02 v1
Abstract
Cluster type varieties are compactifications of algebraic tori on which the volume form has no zeros. These form a natural class of varieties that generalizes both toric varieties and cluster varieties. The aim of this article is to introduce the reader to the concept of cluster type varieties and explain some recent results towards the understanding of these varieties. At the same time, we will pose some problems for further research.
Keywords
Cite
@article{arxiv.2602.23584,
title = {Cluster type varieties},
author = {Joaquín Moraga},
journal= {arXiv preprint arXiv:2602.23584},
year = {2026}
}
Comments
31 pages. This is a paper written for the Bootcamp Proceedings of the Summer Research Institute in Algebraic Geometry held at Colorado State University in 2025