Published January 1, 2022 | Version v1
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Upper level sets of Lelong numbers on P-2 and cubic curves

  • 1. Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey

Description

Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical bar <= 2 for some cubic curve C.

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