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arXiv · 1510.08771

The density property for Gizatullin surfaces of type $[[0,0,-r_2,-r_3]]$

Rafael B. Andrist·Frank Kutzschebauch·Pierre-Marie Poloni
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Abstract

Gizatullin surfaces of type $[[0,0,-r_2,-r_3]]$ can be described by the equations $yu = x P(x)$, $xv = u Q(u)$ and $yv = P(x) Q(u)$ in $\mathbb{C}^4_{x,y,u,v}$ 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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Rafael B. Andrist, Frank Kutzschebauch, Pierre-Marie Poloni. 2015-10-29. The density property for Gizatullin surfaces of type $[[0,0,-r_2,-r_3]]$. https://arxiv.org/abs/1510.08771

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