In the case of a positive plurisubharmonic (k, k)-current T the authors show that the Lelong number does not depend on the coordinate system, that for every irreducible analytic subset Y of pure dimension p the mapping n(T, z)|Y is weakly plurisubharmonic, and that Y| T = n(T, z)[Y ] for p = N −k. When T is closed positive, they show that Y| T = c[Y ], with c = inf n(T, z), and derive the case of nonirreducible Y in the same manner.
Lelong numbers of positive plurisubharmonic currents / Alessandrini, Lucia; Bassanelli, Giovanni. - In: RESULTS IN MATHEMATICS. - ISSN 1422-6383. - 30:(1996), pp. 191-224.
Lelong numbers of positive plurisubharmonic currents
ALESSANDRINI, Lucia;BASSANELLI, Giovanni
1996-01-01
Abstract
In the case of a positive plurisubharmonic (k, k)-current T the authors show that the Lelong number does not depend on the coordinate system, that for every irreducible analytic subset Y of pure dimension p the mapping n(T, z)|Y is weakly plurisubharmonic, and that Y| T = n(T, z)[Y ] for p = N −k. When T is closed positive, they show that Y| T = c[Y ], with c = inf n(T, z), and derive the case of nonirreducible Y in the same manner.File in questo prodotto:
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