Transversal parameters and tangential flatness

DOI10.1017/S0305004100063222zbMath0577.14008MaRDI QIDQ3698921

Ulrich Orbanz

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

multiplicitiesHilbert functionsblowing-upnoetherian local ringtangential flatnessflat familytransversal system of parameters

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (1)

On tangential flatness

Cites Work

• Unnamed Item
• Two notes on flatness
• Graded Cohen-Macaulay rings associated to equimultiple ideals
• Multiplicities and Hilbert functions under blowing up
• Einige Bemerkungen zur Theorie der ganz-algebraischen Abhängigkeit von Idealen
• Effect of a permissible blowing-up on the local Hilbert functions
• Form rings and regular sequences
• Studies in Equisingularity II. Equisingularity in Codimension 1 (and Characteristic Zero)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)

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