Castelnuovo-Mumford regularity and hyperplane sections

DOI10.1006/jabr.1994.1022zbMath0816.14023OpenAlexW2026998218MaRDI QIDQ1320185

Wolfgang Vogel, Lê Tuân Hoa

Publication date: 10 July 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1022

zbMATH Keywords

syzygieslocal cohomologyCohen-Macaulay varietieshyperplane sectionsBuchsbaum modulesarithmetically quasi-Buchsbaum varietyCastelnuovo- Mumford regularity

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Vanishing theorems in algebraic geometry (14F17) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Syzygies, resolutions, complexes and commutative rings (13D02) Projective techniques in algebraic geometry (14N05)

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Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings, The range of all regularities for polynomial ideals with a given Hilbert function, Sharp bounds on Castelnuovo-Mumford regularity, Castelnuovo–Mumford regularity of associated graded modules of k-Buchsbaum modules, Lifting the \(k\)-Buchsbaum property