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math.CV2024
Parametric Symplectic Jet Interpolation
Rafael B. Andrist, Gaofeng Huang, Frank Kutzschebauch +1
We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of with parameters in a Stein space. Moreover, we provide an example of a…
math.CV2024
On the connectedness of the boundary of -complete domains
Rafael B. Andrist
The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The sam…
math.CV2024
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 with . We provide explicitly given generators to…