Let T be a positive closed current of bidimension (1,1) and unit mass on
the complex projective space Pn. We prove that the set Vα(T)
of points where T has Lelong number larger than α is contained in a
complex line if α≥2/3, and ∣Vα(T)∖L∣≤1 for some
complex line L if 1/2≤α<2/3. We also prove that in dimension 2 and
if 2/5≤α<1/2, then ∣Vα(T)∖C∣≤1 for some conic
C.Comment: 9 page