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DESINGULARIZATION OF QUASIPLURISUBHARMONIC FUNCTIONS

VINCENT GUEDJ

Laboratoire Emile Picard, UMR 5580, Université Paul Sabatier, 118 route de Narbonne, 31062 TOULOUSE Cedex 04, France

https://doi.org/10.1142/S0129167X05002953Cited by:1 (Source: Crossref)

Abstract

Let T be a positive closed current of bidegree (1,1) on a compact complex surface. We show that for all ε > 0, one can find a finite composition of blow-ups π such that π*T decomposes as the sum of a divisorial part and a positive closed current whose Lelong numbers are all less than ε.

Keywords:

AMSC: 32U15, 32U25, 32U40

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