Entire pluricomplex green functions and lelong numbers of projective currents

Let T be a positive closed current of bidimension (1,1) and unit mass on the complex projective space ℙ ⁿ. We prove that the set V _α(T) of points where T has Lelong number larger than a is contained in a complex line if α ≥ 2/3, and |V _α(T) \ L| ≤ 1 for some complex line L if α ≥ 1/2. We also prove that in dimension 2 and if α ≥ 2/5, then |V _α(T) \C| ≤ 1 for some conic C.