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math.AG2001
Toric Fano varieties and birational morphisms
Cinzia Casagrande
In this paper we study smooth toric Fano varieties using primitive relations and toric Mori theory. We show that for any irreducible invariant divisor D in a toric Fano variety X,…
math.AG2001
Contractible classes in toric varieties
Cinzia Casagrande
Let X be a smooth, complete, toric variety. We study those curves C in X that are contractible, in the sense that there exists an equivariant morphism with connected fibers, with s…
math.AG2001
On the birational geometry of toric Fano 4-folds
Cinzia Casagrande
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 i…