Cluster type varieties

Fuente: arXiv
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Main Author: Moraga, Joaquín
Format: Preprint
Published: 2026
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_version_ 1866914355894812672
author Moraga, Joaquín
author_facet Moraga, Joaquín
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23584
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cluster type varieties
Moraga, Joaquín
Algebraic Geometry
Primary 14M25, 14E25, Secondary 14B05, 14E30, 14E05
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.
title Cluster type varieties
topic Algebraic Geometry
Primary 14M25, 14E25, Secondary 14B05, 14E30, 14E05
url https://arxiv.org/abs/2602.23584