The density property for Gizatullin surfaces completed by four rational curves

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

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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)

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

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