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Inverse image of a closed positive current by a surjective analytic map. (Image inverse d’un courant positif fermé par une application analytique surjective.) (French) Zbl 0858.32012

C. R. Acad. Sci., Paris, Sér. I 322, No. 12, 1141-1144 (1996).

The author proves the existence of the inverse image of a closed positive current under an open surjective analytic map. Also he gives inequalities between the Lelong numbers of the current and those of the inverse image.

Reviewer: N.Mihalache (Bucureşti)

Cited in 19 Documents

MathOverflow Questions:

Do all closed positive currents lift to a resolution?

MSC:

32C30	Integration on analytic sets and spaces, currents
58A25	Currents in global analysis

Keywords:

existence; inverse image; closed positive current; surjective analytic map; Lelong numbers

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