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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 , has the symplectic density property and the Hamiltonian density pr…
math.AC2025
A Criterion for the Algebraic Density Property of Affine -Manifolds
Rafael B. Andrist, Jan Draisma, Gene Freudenburg +2
Let be an affine -domain which admits a nontrivial fundamental pair of locally nilpotent derivations, i.e., if then is an -tripl…