A bound for the first cohomology of a projective surface
type: Item
instance of: scholarly article
title: A bound for the first cohomology of a projective surface
zbMATH Open document ID: 0705.14019
DOI: 10.1007/BF01313497
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: The paper under review concerns bounds on \(h^ 1({\mathcal O}_ X(n))\) for normal projective surfaces, in terms of the arithmetic genus of a generic hyperplane section. Two cases occur depending on whether \(h^ 2({\mathcal O}_ X)\) vanishes or not. The method is by chasing cohomology sequences.
Mathematics Subject Classification ID: 14F25
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 4156627
zbMATH Keywords: bound for the first cohomology
zbMATH Keywords: arithmetic genus of a generic hyperplane section
author: M. P. Brodmann
MaRDI profile type: Publication
cites work: Bounds on the cohomological Hilbert functions of a projective variety
cites work: On a Differential-Geometric Method in the Theory of Analytic Stacks
cites work: Faisceaux algébriques cohérents
description: scientific article; zbMATH DE number 4156627