Rafael B. Andrist

activity

20242026

collaborators

10 papers

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 $n$ is at most $(n + 1)^{2}$ . 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 $H_{1}, H_{2}$ of root subgroups of the automorphism group $Aut (C^{2})$ the diagonal action of the group generated by $H_{1}, H_{2}$ on $(\mathbb…

math.CV2026

Reinhardt domains determined by their endomorphisms

Rafael B. Andrist, WÅodzimierz Zwonek

We show that pseudoconvex Reinhardt domains in dimension two with isomorphic semigroups of holomorphic endomorphisms are biholomorphically or anti-biholomorphically equivalent. Mor…

math.CV2026

On complete generators of certain Lie algebras on Danielewski surfaces

Rafael B. Andrist

We study the Lie algebra of polynomial vector fields on a smooth Danielewski surface of the form $x y = p (z)$ with $x, y, z \in C$ . We provide explicitly given generators to…

math.CV2025

Direct Products for the Hamiltonian Density Property

Rafael B. Andrist, Gaofeng Huang

We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between th…

math.CV2025

Holomorphic automorphisms of Markov-type surfaces

Rafael B. Andrist

Every complex surface of Markov type, i.e.\ the variety given by $x^{2} + y^{2} + z^{2} + E x y z - A x - B y - C z - D = 0$ , has the symplectic density property and the Hamiltonian density pr…