Flexibility criterion for affine horospherical varieties

TL;DR

This paper establishes a new criterion to determine the flexibility of affine complexity-zero horospherical varieties, extending previous results to a broader class of algebraic varieties.

Contribution

It introduces a generalized flexibility criterion applicable to affine horospherical varieties, broadening the understanding of their geometric properties.

Findings

Provides a criterion for flexibility of affine horospherical varieties

Generalizes known results to non-normal and more complex varieties

Extends the scope of flexibility analysis in algebraic geometry

Abstract

In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties.