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math.AG2025
Borel subalgebras of Lie algebras of vector fields
Ivan Arzhantsev, Mikhail Zaidenberg
In [I. Arzhantsev and M. Zaidenberg, Borel subgroups of the automorphism groups of affine toric surfaces, arXiv:2507.09679 (2025)] we described the Borel subgroups and maximal solv…
math.AG2025
On flexibility of affine factorial varieties
Ivan Arzhantsev, Kirill Shakhmatov
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 fact…
math.AG2025
Borel subgroups of the automorphism groups of affine toric surfaces
Ivan Arzhantsev, Mikhail Zaidenberg
In [I. Arzhantsev and M. Zaidenberg, Acyclic curves and group actions on affine toric surfaces. Affine Algebraic Geometry, 1--41. World Scientific Publishing Co. 2013] we described…