paper

On flexibility of affine factorial varieties

arXiv:2508.04831 · doi:10.1007/s13398-026-01845-1

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.

12 pages

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