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On flexibility of affine factorial varieties

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2026. Vol. 120. Article 55.
Arzhantsev I., Shakhmatov K.

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.

Research target: Mathematics
Language: English
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Keywords: автоморфизмhomogeneous spaceоднородное пространствоAutomorphismaffine varietydivisorаффинное многообразиедивизорunique factorizationоднозначность разложения на множители
Publication based on the results of:
Гибкость и вычислительные методы (2026)
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