On 0-dimensional complete intersections

DOI10.1007/BF01444608zbMath0741.14030MaRDI QIDQ1187350

Martin Kreuzer

Publication date: 28 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164901

zbMATH Keywords

Hilbert functionCayley-Bacharach property0-dimensional complete intersectionsvector bundles with very good sections

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Complete intersections (14M10)

Related Items

Rank two aCM bundles on general determinantal quartic surfaces in \(\mathbb {P}^{3}\), Notes on varieties of codimension 3 in \(\mathbb{P}^ N\), A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves, Examples of rank two aCM bundles on smooth quartic surfaces in \({\mathbb {P}^{3}}\), On maximal cayley-bacharach schemes, The Kähler different of a 0-dimensional scheme, Vector bundles with good sections, Inverse systems of zero-dimensional schemes in \(\mathbb P^n\), On the Cayley-Bacharach Property, A construction of codimension three arithmetically Gorenstein subschemes of projective space, Characterizations of zero-dimensional complete intersections, Codimension 3 arithmetically Gorenstein subschemes of projective \(N\)-space, The \(h\)-vectors of arithmetically Gorenstein sets of points on a general sextic surface in \(\mathbb P^3\), Determinantal schemes and Buchsbaum-Rim sheaves, Extremal zero-dimensional subschemes of \({\mathbb{P}}^2\), The projective geometry of the Gale transform.

Cites Work

• The Chern classes of the stable rank 3 vector bundles on \({\mathbb{P}}^ 3\)
• Residues and zero-cycles on algebraic varieties
• Liaison des variétés algébriques. I
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• Vector Bundles on the Punctured Spectrum of a Local Ring
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