Open Access
November 2019 A note on flatness of some fiber type contractions
Eleonora Anna Romano
Proc. Japan Acad. Ser. A Math. Sci. 95(9): 103-106 (November 2019). DOI: 10.3792/pjaa.95.103

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.

Citation

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Eleonora Anna Romano. "A note on flatness of some fiber type contractions." Proc. Japan Acad. Ser. A Math. Sci. 95 (9) 103 - 106, November 2019. https://doi.org/10.3792/pjaa.95.103

Information

Published: November 2019
First available in Project Euclid: 1 November 2019

zbMATH: 07213568
MathSciNet: MR4026358
Digital Object Identifier: 10.3792/pjaa.95.103

Subjects:
Primary: 14Exx , 14-XX
Secondary: 14C25 , 14H10

Keywords: conic bundles , fiber type contractions , flatness

Rights: Copyright © 2019 The Japan Academy

Vol.95 • No. 9 • November 2019
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