A note on flatness of some fiber type contractions.

@article{Romano2019ANO,
title={A note on flatness of some fiber type contractions.},
author={E. Romano},
journal={arXiv: Algebraic Geometry},
year={2019}
}

We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one-dimensional fibers with their conic bundles structures, also in the general case in which some mild singularities of the varieties are admitted.