On the hyperplane sections of certain codimension 2 subvarieties in \(\mathbb{P}^ n\)

DOI10.1007/BF01193523zbMath0774.14040OpenAlexW1988877620MaRDI QIDQ1203527

Mei-Chu Chang

Publication date: 10 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193523

zbMATH Keywords

syzygycodimension 2 submanifoldfiltered Bertini theoremintegral variety as hyperplane sectionresolution of Buchsbaum varieties

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Projective techniques in algebraic geometry (14N05) Low codimension problems in algebraic geometry (14M07)

Related Items (4)

Laudal-type theorems in \(\mathbb{P}^N\) ⋮ Bounds on Castelnuovo-Mumford regularity for graded modules and projective varieties ⋮ On smooth rational threefolds of P⁵ with rational non—special hyperplane section ⋮ Lifting the \(k\)-Buchsbaum property

Cites Work

• Unnamed Item
• Characterization of arithmetically Buchsbaum subschemes of codimension 2 in \(\mathbb P^ n\)
• The Hilbert function of generic plane sections of curves of \({\mathbb P}^ 3\)
• Hyperplane sections of a smooth curve in P³
• Genre des courbes de l'espace projectif

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