This article is cited in 7 papers

Decomposition of certain birational morphisms

V. I. Danilov


Abstract: It is proved that a projective birational morphism of smooth algebraic varieties whose fiber is no greater than one-dimensional can be factored into monoidal transformations with smooth centers of codimension 2.
Bibliography: 6 titles.

UDC: 513.6

MSC: 14E05

Received: 15.11.1979

 English version: Mathematics of the USSR-Izvestiya, 1981, 16:2, 419–429

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