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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Discs in complex manifolds with no bounded plurisubharmonic functions


Author: Jean-Pierre Rosay
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 2315-2319
MSC (2000): Primary 32H02, 32U05, 32Q65
Published electronically: February 19, 2004
MathSciNet review: 2052407
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Abstract: Roughly speaking: In a complex manifold on which all bounded plurisubharmonic functions are constant, the center of a holomorphic disc and its boundary can be prescribed somewhat arbitrarily.


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Additional Information

Jean-Pierre Rosay
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: jrosay@math.wisc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07460-X
PII: S 0002-9939(04)07460-X
Received by editor(s): April 24, 2003
Published electronically: February 19, 2004
Additional Notes: Partly supported by NSF
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2004 American Mathematical Society