Automorphisms of nonnormal toric varieties

TL;DR

This paper establishes criteria for nonnormal toric varieties to be flexible, rigid, or almost rigid, and explicitly describes automorphism groups for the rigid cases, advancing understanding of their symmetries.

Contribution

It provides new criteria for rigidity and flexibility in nonnormal toric varieties and explicitly characterizes their automorphism groups.

Findings

Criteria for flexibility, rigidity, and almost rigidity of nonnormal toric varieties

Explicit descriptions of automorphism groups for rigid and almost rigid cases

Advances understanding of symmetry properties in nonnormal toric varieties

Abstract

In this paper we prove criteria for a nonnormal toric variety to be flexible, to be rigid and to be almost rigid. For rigid and almost rigid toric varieties we describe the automorphism group explicitly.