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Lelong numbers of positive plurisubharmonic currents

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Abstract

A (k,k)-current T on an open subset of CN is plurisubharmonic if is positive. Positive plurisubharmonic currents admit Lelong numbers; we prove here that they are independent on the coordinates system. Moreover, if Y is an analytic subset of pure dimension, then the Lelong numbers of T on Y are given by a non negative weakly plurisubharmonic function.

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Authors and Affiliations

  1. Dipartimento di Matematica del Politecnico di Milano, Via Bonardi 9, I-20133, Milano, Italy

    Lucia Alessandrini

  2. Dipartimento di Matematica, Università di Cagliari, Via Merello 92, I-09123, Cagliari, Italy

    Giovanni Bassanelli

Authors
  1. Lucia Alessandrini
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  2. Giovanni Bassanelli
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Correspondence to Lucia Alessandrini.

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This work is partially supported by MURST, 40%.

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Alessandrini, L., Bassanelli, G. Lelong numbers of positive plurisubharmonic currents. Results. Math. 30, 191–224 (1996). https://doi.org/10.1007/BF03322191

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