Abstract
We refine the arguments in [12] to show that the extended norm of Bedford-Taylor is in fact exact the same as the original Chern-Levine-Nirenberg intrinsic norm, thus provides a proof of the Chern-Levine-Nirenberg conjecture. The result can be generalized to deal with homogeneous Monge-Ampère equation on any complex manifold.
Research was supported in part by an NSERC Discovery Grant.
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Dedicated to Professor Linda Rothchild on the occasion of her 60th birthday
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Guan, P. (2010). Remarks on the Homogeneous Complex Monge-Ampère Equation. In: Complex Analysis. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0009-5_10
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DOI: https://doi.org/10.1007/978-3-0346-0009-5_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0008-8
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