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math.AG2022★ 7 cited
On images of affine spaces
Ivan Arzhantsev
We prove that every non-degenerate toric variety, every homogeneous space of a connected linear algebraic group without non-constant invertible regular functions, and every variety…
math.AG2022★ 2 cited
Radiant toric varieties and unipotent group actions
Ivan Arzhantsev, Alexander Perepechko, Kirill Shakhmatov
We consider complete toric varieties such that a maximal unipotent subgroup of the automorphism group acts on with an open orbit. It turns out that such…
math.AG2022
Homogeneous algebraic varieties and transitivity degree
Ivan Arzhantsev, Kirill Shakhmatov, Yulia Zaitseva
Let be an algebraic variety such that the group acts on transitively. We define the transitivity degree of as a maximal number such that the action…