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Bounding cohomological Hilbert functions by hyperplane sections

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Publication:1895563
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DOI10.1006/jabr.1995.1130zbMath0847.14007OpenAlexW1993821664MaRDI QIDQ1895563

Uwe Nagel, Markus P. Brodmann

Publication date: 29 August 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1130

zbMATH Keywords

Chern classeshyperplane sectionsbounds for cohomological Hilbert functions


Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)


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Curves with degenerate general hypersurface sections., Arithmetically Buchsbaum divisors on varieties of minimal degree, Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity, A bound on certain local cohomology modules and application to ample divisors, Liaison and Cohen-Macaulayness conditions, Characterizations of spaces curves containing a planar subcurve, Comparing Castelnuovo-Mumford regularity and extended degree: The borderline cases, Regularity bounds by minimal generators and Hilbert function, Surfaces in \({\mathbb P}^4\) with extremal general hyperplane section.



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