2014/04/02 by Công Trình Lê, Lê, Công-Trình · 1 citation
Mathematics · #14B07 #14B12 #14B25 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1404.0430
openalex publication_date 2014/04/02 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28
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.