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dc.contributor.creatorHoffmann, Norbert
dc.contributor.creatorStuhler, Ulrich
dc.date.accessioned2018-12-06T11:43:39Z
dc.date.available2018-12-06T11:43:39Z
dc.date.issued2005
dc.identifier.citationHoffmann, N., Stuhler, U. (2005) 'Moduli Schemes of Generically Simple Azumaya Modules.' Documenta Mathematica 10, pp. 369-389.en_US
dc.identifier.urihttp://hdl.handle.net/10395/2507
dc.descriptionModuli schemes of generically simple Azumaya modules.en_US
dc.description.abstractLet A be an Azumaya algebra over a smooth projective variety X or more generally, a torsion free coherent sheaf of algebras over X whose generic fiber is a central simple algebra. We show that generically simple torsion free A-module sheaves have a projective coarse moduli scheme; it is smooth and even symplectic if X is an abelian or K3 surface and A is Azumaya. We explain a relation to the classical theory of the Brandt groupoid.en_US
dc.language.isoengen_US
dc.publisherDocumenta Mathematicaen_US
dc.relation.ispartofseries10;
dc.rights.urihttps://www.math.uni-bielefeld.de/documenta/vol-10/12.pdfen_US
dc.subjectModuli spaceen_US
dc.subjectTorsion free sheafen_US
dc.subjectAzumaya moduleen_US
dc.subjectBrandt groupoiden_US
dc.titleModuli schemes of generically simple Azumaya modulesen_US
dc.typeArticleen_US
dc.type.supercollectionall_mic_researchen_US
dc.type.supercollectionmic_published_revieweden_US
dc.description.versionYesen_US
dc.identifier.localarXiv:math/0411094v2


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