Cargando…

Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras

It is shown that the schematic image of the scheme of Azumaya algebra structures on a vector bundle of rank 4 over any base scheme is separated, of finite type, smooth of relative dimension 13 and geometrically irreducible over that base and that this construction basechanges well. This generalises...

Descripción completa

Detalles Bibliográficos
Autor principal: Venkata-Balaji, T E
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/646702
_version_ 1780900863573753856
author Venkata-Balaji, T E
author_facet Venkata-Balaji, T E
author_sort Venkata-Balaji, T E
collection CERN
description It is shown that the schematic image of the scheme of Azumaya algebra structures on a vector bundle of rank 4 over any base scheme is separated, of finite type, smooth of relative dimension 13 and geometrically irreducible over that base and that this construction basechanges well. This generalises the main theorem of Part I of an earlier work and clarifies it by showing that the algebraic operation of forming the even Clifford algebra (=Witt algebra) of a rank 3 quadratic module essentially translates to performing the geometric operation of taking the schematic image of the scheme of Azumaya algebra structures.
id cern-646702
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-6467022019-09-30T06:29:59Zhttp://cds.cern.ch/record/646702engVenkata-Balaji, T ESchematic limits of rank 4 Azuyama bundles are the locally-Witt algebrasXXIt is shown that the schematic image of the scheme of Azumaya algebra structures on a vector bundle of rank 4 over any base scheme is separated, of finite type, smooth of relative dimension 13 and geometrically irreducible over that base and that this construction basechanges well. This generalises the main theorem of Part I of an earlier work and clarifies it by showing that the algebraic operation of forming the even Clifford algebra (=Witt algebra) of a rank 3 quadratic module essentially translates to performing the geometric operation of taking the schematic image of the scheme of Azumaya algebra structures.IC-2002-57oai:cds.cern.ch:6467022002
spellingShingle XX
Venkata-Balaji, T E
Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title_full Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title_fullStr Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title_full_unstemmed Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title_short Schematic limits of rank 4 Azuyama bundles are the locally-Witt algebras
title_sort schematic limits of rank 4 azuyama bundles are the locally-witt algebras
topic XX
url http://cds.cern.ch/record/646702
work_keys_str_mv AT venkatabalajite schematiclimitsofrank4azuyamabundlesarethelocallywittalgebras