DOCUMENTA MATHEMATICA, Vol. 10 (2005), 369-389  Norbert
Hoffmann, Ulrich Stuhler  Moduli Schemes of Generically Simple
Azumaya Modules  Let 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.  2000 Mathematics Subject Classification: 14J60
(Primary), 16H05  Keywords and Phrases: Moduli space, torsion
free sheaf, Azumaya module, Brandt groupoid  Full text: dvi.gz
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