Local singularities. filtrations and tangential flatness

DOI10.1080/00927879908826593zbMath0954.13008OpenAlexW1993602193MaRDI QIDQ4254201

Jörg Jahnel

Publication date: 5 February 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826593

zbMATH Keywords

Hilbert functionsfiltered local ringsLech-Hironaka type inequalities

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Singularities of curves, local rings (14H20) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• Lech-Hironaka inequalities for flat couples of local rings
• Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum
• Kodaira-Spencer maps in local algebra
• Note on multiplicities of ideals
• On the characteristic functions of a local ring
• Effect of a permissible blowing-up on the local Hilbert functions
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Local Singularities Such that all Deformations are Tangentially Flat

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