A note on flatness of some fiber type contractions

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Eleonora Anna Romano¹ 

[1] Institute of Mathematics, Faculty of Informatics, University of Warsaw

关键词: Flatness;    fiber type contractions;    conic bundles.;   

DOI  :  10.3792/pjaa.95.103

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown