Oka properties of some hypersurface complements
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- by Alexander Hanysz PDF
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Abstract:
Oka manifolds can be viewed as the “opposite” of Kobayashi hyperbolic manifolds. Kobayashi asked whether the complement in projective space of a generic hypersurface of sufficiently high degree is hyperbolic. Therefore it is natural to investigate Oka properties of complements of low degree hypersurfaces. We determine which complements of hyperplane arrangements in projective space are Oka. A related question is which hypersurfaces in affine space have Oka complements. We give some results for graphs of meromorphic functions.References
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Additional Information
- Alexander Hanysz
- Affiliation: School of Mathematical Sciences, University of Adelaide, Adelaide SA 5005, Australia
- Email: alexander.hanysz@adelaide.edu.au, alexander.hanysz@abs.gov.au
- Received by editor(s): December 7, 2011
- Received by editor(s) in revised form: March 14, 2012
- Published electronically: October 8, 2013
- Communicated by: Franc Forstneric
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 483-496
- MSC (2010): Primary 32Q28; Secondary 14J70, 32H02, 32H04, 32Q45, 32Q55, 52C35
- DOI: https://doi.org/10.1090/S0002-9939-2013-11754-5
- MathSciNet review: 3133990