Normal genera of two-dimensional local rings

DOI10.1080/00927879008823970zbMath0704.13015OpenAlexW2002635708MaRDI QIDQ3483378

Akira Ooishi

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008823970

zbMATH Keywords

Cohen-Macaulay ringassociated graded ringelliptic surface singularitynormal genus

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Singularities of surfaces or higher-dimensional varieties (14J17) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Tangent cones at curve and surface singularities ⋮ Muhly local domains and Zariski's theory of complete ideals

Cites Work

• Hilbert functions and symbolic powers
• Integral closures of ideals generated by regular sequences
• On form rings which are Cohen-Macaulay
• Desingularization of two-dimensional schemes
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two

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