Complex analytic sets. Translated from the Russian by R. A. M. Hoksbergen. (English) Zbl 0683.32002

Chirka, E. M.

Mathematics and Its Applications: Soviet Series, 46. Dordrecht etc.: Kluwer Academic Publishers. xix, 372 p. Dfl. 195.00; $ 99.00; £62.00 (1989).

English translation of the Russian original in (1985; Zbl 0586.32013).

MSC:

32-02	Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces
32C25	Analytic subsets and submanifolds
32Q99	Complex manifolds
32C30	Integration on analytic sets and spaces, currents
32D15	Continuation of analytic objects in several complex variables
32B15	Analytic subsets of affine space
32B05	Analytic algebras and generalizations, preparation theorems
32E35	Global boundary behavior of holomorphic functions of several complex variables
32D20	Removable singularities in several complex variables
14C17	Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry

Keywords:

analytic sets in complex manifolds; tangent cones; multiplicity for holomorphic maps; intersection theory; integration on analytic sets; Lelong numbers; currents; analytic continuation; bibliography