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A note on flatness of some fiber type contractions

Algebraic Geometry 2019-06-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1906.10911,
  title  = {A note on flatness of some fiber type contractions},
  author = {Eleonora Anna Romano},
  journal= {arXiv preprint arXiv:1906.10911},
  year   = {2019}
}

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5 pages