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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.CV2026
Reinhardt domains determined by their endomorphisms
Rafael B. Andrist, Włodzimierz Zwonek
We show that pseudoconvex Reinhardt domains in dimension two with isomorphic semigroups of holomorphic endomorphisms are biholomorphically or anti-biholomorphically equivalent. Mor…