Some remarks on flatness of morphisms over smooth base spaces
Algebraic Geometry
2019-02-19 v2
Abstract
In this paper we study flatness of the restriction on some special subgerms (e.g. the reduction and the unmixed part) of the total space of a flat morphism over a smooth base space. We give a relationship between reducedness of the total space and that of the generic fibers of a flat morphism over a reduced Cohen-Macaulay base space. Moreover, we study flatness of the composition of a flat morphism over a smooth base space and the normalization of the total space of that morphism.
Keywords
Cite
@article{arxiv.1404.0430,
title = {Some remarks on flatness of morphisms over smooth base spaces},
author = {Công-Trình Lê},
journal= {arXiv preprint arXiv:1404.0430},
year = {2019}
}
Comments
This paper has been withdrawn by the author due to a crucial error in Theorem 3.3