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arXiv 2013-05-04 0 views

Geometric properties of upper level sets of Lelong numbers on projective spaces

Coman, Dan · Truong, Tuyen Trung

Original · EN

Let T be a positive closed current of unit mass on the complex projective space Pⁿ. For certain values α<1, we prove geometric properties of the set of points in Pⁿ where the Lelong number of T exceeds α. We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.

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