Abstract
Let \(T\) be a positive closed current of unit mass on the complex projective space \(\mathbb P^n\). For certain values \(\alpha <1\), we prove geometric properties of the set of points in \(\mathbb P^n\) where the Lelong number of \(T\) exceeds \(\alpha \). We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.
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D. Coman is partially supported by the NSF Grant DMS-1300157.
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Coman, D., Truong, T.T. Geometric properties of upper level sets of Lelong numbers on projective spaces. Math. Ann. 361, 981–994 (2015). https://doi.org/10.1007/s00208-014-1094-7
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DOI: https://doi.org/10.1007/s00208-014-1094-7