A note on flatness of some fiber type contractions

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 th...

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Veröffentlicht in:Proceedings of the Japan Academy. Series A. Mathematical sciences 2019-11, Vol.95 (9), p.103-106
1. Verfasser: Romano, Eleonora Anna
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container_title Proceedings of the Japan Academy. Series A. Mathematical sciences
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description 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.
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source Project Euclid Open Access; Open Access Titles of Japan; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete
subjects Flatness
Singularity (mathematics)
title A note on flatness of some fiber type contractions
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