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arXiv · 2508.04831

On flexibility of affine factorial varieties

Ivan Arzhantsev·Kirill Shakhmatov
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Abstract

We give a criterion of factoriality of a suspension. This allows to construct many examples of flexible affine factorial varieties. In particular, we find a homogeneous affine factorial 3-fold that is not a homogeneous space of an algebraic group.

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Ivan Arzhantsev, Kirill Shakhmatov. 2025-08-06. On flexibility of affine factorial varieties. https://doi.org/10.1007/s13398-026-01845-1

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