Infinitesimal criterion for flatness of projective morphism of schemes

A generalization of the well-known criterion for flatness of a projective morphism of Noetherian schemes involving the Hilbert polynomial is given for the case of a nonreduced base of the morphism.

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Bibliographic Details
Published in:St. Petersburg mathematical journal 2015-02, Vol.26 (1), p.131-138
Main Author: Timofeeva, N. V.
Format: Article
Language:English
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Summary:A generalization of the well-known criterion for flatness of a projective morphism of Noetherian schemes involving the Hilbert polynomial is given for the case of a nonreduced base of the morphism.
ISSN:1061-0022
1547-7371
DOI:10.1090/S1061-0022-2014-01334-9