Degenerations of Horrocks-Mumford surfaces
type: Item
instance of: scholarly article
title: Degenerations of Horrocks-Mumford surfaces
zbMATH Open document ID: 0663.14026
DOI: 10.1007/BF01457868
author: Ross Moore
author: Wolf P. Barth
author: Klaus Hulek
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164276
review text: The Horrocks-Mumford bundle is a certain rank-2 vector bundle on \({\mathbb{P}}_ 4\) and the zero sets of its global non-zero sections are surfaces of degree \( 10,\) called Horrocks-Mumford surfaces. The smooth ones are abelian surfaces and of the singular ones a complete classification with geometrical descriptions is obtained in the paper.
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 4083811
zbMATH Keywords: singular Horrocks-Mumford surfaces
zbMATH Keywords: Horrocks-Mumford bundle
reviewed by: J. H. de Boer
MaRDI profile type: Publication
cites work: Vector Bundles Over an Elliptic Curve
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cites work: On the geometry of a special determinantal hypersurface associated to the Mumford-Horrocks vector bundle.
cites work: Q3871017
description: scientific article; zbMATH DE number 4083811