The density property for Gizatullin surfaces of type [[0,0,-r₂,-r₃]]
Andrist, Rafael B. · Kutzschebauch, Frank · Poloni, Pierre-Marie
Original · EN
Gizatullin surfaces of type [[0,0,-r₂,-r₃]] can be described by the equations yu = x P(x), xv = u Q(u) and yv = P(x) Q(u) in C⁴ₓ,y,ᵤ,ᵥ where P and Q are non-constant polynomials. We establish the algebraic density property for smooth Gizatullin surfaces of this type. Moreover we also prove the density property for smooth surfaces given by these equations when P and Q are holomorphic functions.
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