Bounds for the cohomology and the Castelnuovo regularity of certain surfaces

DOI10.1017/S0027763000004566zbMath0779.14016OpenAlexW1878365671MaRDI QIDQ4271311

Wolfgang Vogel, Markus P. Brodmann

Publication date: 1 December 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004566

zbMATH Keywords

cohomologyCastelnuovo-Mumford regularitynormal projective surfacesBuchsbaum surfaces

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Étale and other Grothendieck topologies and (co)homologies (14F20) Surfaces and higher-dimensional varieties (14J99)

Related Items

Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity, The regularity conjecture for prime ideals in polynomial rings, A bound on certain local cohomology modules and application to ample divisors, Curves of degree \(r+2\) in \(\mathbb{P}^r\): Cohomological, geometric, and homological aspects, Generators of graded modules associated with linear filter-regular sequences, Counterexamples to the Eisenbud–Goto regularity conjecture

Cites Work

• Linear free resolutions and minimal multiplicity
• Bounds on the cohomological Hilbert functions of a projective variety
• Castenuovo bounds for certain subvarieties in \({\mathbb{P}}^ n\)
• A sharp Castelnuovo bound for smooth surfaces
• Castelnuovo's regularity and cohomological properties of sets of points in \({\mathbb{P}}^ n\)
• The genus of space curves
• Towards a structure theory for projective varieties of degree = codimension + 2
• Sectional genus and cohomology of projective varieties
• Pathologies III