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Monge-Ampère operators, Lelong numbers and intersection theory. (English) Zbl 0792.32006
Ancona, Vincenzo (ed.) et al., Complex analysis and geometry. New York: Plenum Press. The University Series in Mathematics. 115-193 (1993).
This article is a survey on the theory of Lelong numbers, viewed as a tool for studying intersection theory by complex differential geometry. The paper contains earlier works of the author [Mém. Soc. Math. Fr., Nouv. Sér. 19, 124 p. (1985; Zbl 0579.32012) and Acta Math. 159, 153- 169 (1987; Zbl 0629.32011)] and of Y. T. Siu [Invent. Math. 27, 53- 156 (1974; Zbl 0289.32003)]. Many results are given with complete proofs, which are shorter and simpler than the original ones. The references contain 37 items on these topics.

32C30Integration on analytic sets and spaces, currents
32W20Complex Monge-Ampère operators
32U05Plurisubharmonic functions and generalizations