Smooth Enriques surfaces in \(\mathbb{P}^ 4\) and exceptional bundles
type: Item
instance of: scholarly article
title: Smooth Enriques surfaces in \(\mathbb{P}^ 4\) and exceptional bundles
zbMATH Open document ID: 0790.14035
DOI: 10.1007/BF03025735
author: Sonia Brivio
published in: Mathematische Zeitschrift
publication date: 1994-06-20T00:00:00Z
full work available at URL: https://eudml.org/doc/174543
review text: Assume that \(S\) is a smooth Enriques surface (non-minimal) of degree 10 in \(\mathbb{P}^ 4\), then we prove that on the minimal model of \(S\) there exists a rank 2 vector bundle, stable and exceptional, with \(c^ 2_ 1=14\) and \(c_ 2=4\). Conversely, the existence of such a bundle on a generic Enriques surface \(X\) allows us to give a simple construction of a smooth Enriques surface in \(\mathbb{P}^ 4\).
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14J60
zbMATH DE Number: 561304
zbMATH Keywords: exceptional bundles
zbMATH Keywords: Enriques surface
zbMATH Keywords: minimal model
MaRDI profile type: Publication
cites work: Q4175362
cites work: Enriques surfaces. I
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cites work: Reye Constructions for Nodal Enriques Surfaces
cites work: Q4195061
cites work: Q4143433
cites work: Q4775956
cites work: Vector bundles on complex projective spaces
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description: scientific article; zbMATH DE number 561304