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Birational geometry of toric 3-folds

V. I. Danilov


Abstract: The following result is proved. Suppose given smooth toric $3$-folds $X$ and $Y$ and a proper birational toric morphism $f\colon X\to Y$. Then $f$ decomposes as a composite of blow-ups and blow-downs in smooth toric strata.
Bibliography: 7 titles.

UDC: 513.6

MSC: Primary 14E30; Secondary 14E05, 14E35, 14M20

Received: 05.01.1982

 English version: Mathematics of the USSR-Izvestiya, 1983, 21:2, 269–280

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