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PLURIPOLAR SETS, REAL SUBMANIFOLDS AND PSEUDOHOLOMORPHIC DISCS
Published online by Cambridge University Press: 08 April 2019
Abstract
We prove that a compact subset of full measure on a generic submanifold of an almost complex manifold is not a pluripolar set. Several related results on boundary behavior of plurisubharmonic functions are established. Our approach is based on gluing a family of complex discs to a generic manifold along a boundary arc and could admit further applications.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 109 , Issue 2 , October 2020 , pp. 270 - 288
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
The author is partially supported by Labex CEMPI.
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