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On the multidegree of Cremona transformations. (Sur le multidegré des transformations de Cremona.) (French) Zbl 1011.14003

Summary: We define a notion of multidegree for Cremona transformations. We show Diophantine inequalities for the multidegree and we construct, in dimension three, the Cremona transformations with all possible multidegrees.

MSC:

14E07 Birational automorphisms, Cremona group and generalizations
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