Integral arithmetically Buchsbaum curves in \({\mathbb{P}}^ 3\)

DOI10.2969/jmsj/04110001zbMath0702.14038OpenAlexW2035236228MaRDI QIDQ914781

Mutsumi Amasaki

Publication date: 1989

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04110001

zbMATH Keywords

Hartshorne-Rao modulearithmetically Buchsbaum curveminimal generating set for the homogeneous ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Special algebraic curves and curves of low genus (14H45)

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Application of the Generalized Weierstrass Preparation Theorem to the Study of Homogeneous Ideals, Basic sequences of homogeneous ideals in polynomial rings, Two-codimensional buchsbaum subschemes of pⁿvia their hyperplane sections, Generators for the ideal of an arithmetically Buchsbaum curve, Generators of graded modules associated with linear filter-regular sequences, The Lazarsfeld-Rao problem for Buchsbaum curves