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On the number of equations needed to describe a variety. (English) Zbl 0539.32009

Complex analysis of several variables, Proc. Symp., Madison/Wis. 1982, Proc. Symp. Pure Math. 41, 163-180 (1984).
[For the entire collection see Zbl 0527.00006.]
This is a survey on the recent progress due to Bănică and Forster and the author on the question how many equations are needed to describe a variety in a Stein space (or in \({\mathbb{C}}^ N)\). The main emphasis is on the set-theoretic description of the subvarieties.

MSC:

32E10 Stein spaces
14E05 Rational and birational maps

Citations:

Zbl 0527.00006