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math.AG2026
The bracket width for Lie algebras of vector fields is finite
Rafael B. Andrist, Andriy Regeta
We prove that the bracket width of the Lie algebra of vector fields on any smooth affine algebraic variety of dimension is at most . We give improved bounds for some f…
math.AG2026
Infinite transitivity and polynomial vector fields
Rafael B. Andrist, Ivan Arzhantsev
We prove that for many pairs of root subgroups of the automorphism group the diagonal action of the group generated by on $(\mathbb…
math.AG2013
Varieties Characterized by their Endomorphisms
Rafael Andrist, Hanspeter Kraft
We show that two varieties X and Y with isomorphic endomorphism semigroups are isomorphic up to field automorphism if one of them is affine and contains a copy of the affine line.…