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2 years ago

New Study Shows Simplified Approach to Complex Functions on Any Surface

arXiv (Cornell University)
On piecewise pluriharmonic functions
Boris Kazarnovskii

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The article discusses how piecewise pluriharmonic functions on complex manifolds can be studied using a ring generated by certain functions. By imposing restrictions on these functions, a specific mapping can be extended to the ring, allowing for the analysis of products of piecewise pluriharmonic functions. This leads to the conclusion that certain currents depend solely on the product of these functions.