Andrist, Rafael Benedikt; Kutzschebauch, Frank; Poloni, Pierre-Marie
(2017).
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The density property for Gizatullin surfaces completed by four rational curves (In Press).
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Proceedings of the American Mathematical Society
American Mathematical Society

Text
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Abstract. Gizatullin surfaces completed by a standard zigzag of type [[0, 0, -r₂, -r₃]] can be described by the equations yu = xP(x), xv = uQ(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.

## Item Type: |
Journal Article (Original Article) |
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## Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |

## UniBE Contributor: |
Andrist, Rafael Benedikt; Kutzschebauch, Frank and Poloni, Pierre-Marie |

## Subjects: |
500 Science > 510 Mathematics |

## ISSN: |
0002-9939 |

## Publisher: |
American Mathematical Society |

## Language: |
English |

## Submitter: |
Olivier Bernard Mila |

## Date Deposited: |
02 Aug 2017 15:30 |

## Last Modified: |
02 Aug 2017 15:30 |

## BORIS DOI: |
10.7892/boris.97584 |

## URI: |
https://boris.unibe.ch/id/eprint/97584 |