This article is cited in 39 papers

Projections of algebraic varieties

F. L. Zak


Abstract: This paper gives conditions which are necessary and sufficient in order that a generic projection of a projective variety not have singularities other than those coming from the singularities of the original variety. In particular it turns out that this is possible only for varieties of large codimension.
Bibliography: 5 titles.

UDC: 513.6

MSC: Primary 14E22, 14E25, 14N05; Secondary 14M07, 51N35

Received: 17.12.1980

 English version: Mathematics of the USSR-Sbornik, 1983, 44:4, 535–544

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