Mathematics – Algebraic Geometry
Scientific paper
2001-04-23
Mathematics
Algebraic Geometry
6 pages, contains an abridged French version
Scientific paper
We announce a factorization result for equivariant birational morphisms
between toric 4-folds whose source is Fano: such a morphism is always a
composite of blow-ups along smooth invariant centers. Moreover, we show with a
counterexample that, differently from the 3-dimensional case, even if both
source and target are Fano, the intermediate varieties can not be chosen Fano.
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