Two notes on flatness

DOI10.1007/BF01168239zbMath0525.13012MaRDI QIDQ594148

Ulrich Orbanz, Manfred Herrmann

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154900

zbMATH Keywords

local ringstangent coneCohen-Macaulayflatness of local homomorphismgeneralized Hilbert functions

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (7)

Transversal parameters and tangential flatness ⋮ Group graded associated ideals with flat base change of rings and short exact sequences ⋮ On tangential flatness ⋮ On Bayer's deformation and the associativity formula ⋮ A flatness property for filtered \(D\)-modules ⋮ Normal and tangential flatness ⋮ A criterion for tangential flatness

Cites Work

• Faserdimensionen von Aufblasungen lokaler Ringe und Äquimultiplizität
• Five theorems on Macaulay rings
• Die Wirkung lokaler Homomorphismen auf die Hilbertfunktion
• Form rings and regular sequences
• Local Homomorphisms and Hilbert-Samuel Functions
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