On spinor bundles
type: Item
instance of: scholarly article
title: On spinor bundles
zbMATH Open document ID: 0578.14014
DOI: 10.1016/0022-4049(85)90031-3
author: Ignacio Sols
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: Let K be an algebraically closed field and let \(G=Gr(1,3)\) be the Klein quadric over K. The author uses Bejlinson's ideas [\textit{A. A. Bejlinson}, Funct. Anal. Appl. 12, 214-216 (1979); translation from Funkts. Anal. Prilozh. 12, No.3, 68-69 (1978; Zbl 0402.14006)] to prove that all coherent sheaves on G are built from two bundles by means of certain exact sequences. These two bundles are: the universal rank-2 sub-bundle and the universal rank-2 quotient bundle. In case the coherent sheaf is locally free, this representation leads to quite explicit formulas.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14M15
zbMATH DE Number: 3924966
zbMATH Keywords: spinor bundles
zbMATH Keywords: Klein quadric
zbMATH Keywords: coherent sheaf
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90031-3
OpenAlex ID: W1995468463
cites work: Q4186468
cites work: Cohomology and massless fields
cites work: Q4143433
description: scientific article; zbMATH DE number 3924966