Geodesic
Birational geometry of toric 3-folds
Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 269-280.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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V. I. Danilov. Birational geometry of toric 3-folds. Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 269-280. http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a2/

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