Algebras of endomorphisms of semistable vector bundles of rank 3 over a Riemann surface
type: Item
instance of: scholarly article
title: Algebras of endomorphisms of semistable vector bundles of rank 3 over a Riemann surface
zbMATH Open document ID: 0683.32020
DOI: 10.1016/0021-8693(89)90054-9
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: Using the characterization of the algebras of endomorphisms of indecomposable vector bundles over a compact connected Riemann surface of genus \(g,g>1\), the author gives necessary and sufficient conditions for a semistable vector bundle of rank 3 to have a certain algebra as its algebra of endomorphisms. In Section 3 the author proves the existence of such bundles and compares their difference with the case of genus 1 [cf. \textit{M. F. Atiyah}, Proc. Lond. Math. Soc; III. Ser. 7, 414-452 (1957; Zbl 0084.173)].
reviewed by: Boris N. Apanasov
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 4118715
zbMATH Keywords: semistable vector bundle
zbMATH Keywords: algebra of endomorphisms
author: L. Brambila-Paz
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90054-9
OpenAlex ID: W2045331744
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description: scientific article; zbMATH DE number 4118715