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
Descripción
Sumario: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.