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arXiv · 1404.0430

Some remarks on flatness of morphisms over smooth base spaces

Công-Trình Lê
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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.

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Công-Trình Lê. 2014-04-02. Some remarks on flatness of morphisms over smooth base spaces. https://arxiv.org/abs/1404.0430

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