On the birational geometry of toric Fano 4-folds
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0104210,
title = {On the birational geometry of toric Fano 4-folds},
author = {Cinzia Casagrande},
journal= {arXiv preprint arXiv:math/0104210},
year = {2007}
}
Comments
6 pages, contains an abridged French version