The symplectic structure on the moduli space of line bundles on a noncommutative Azumaya surface
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azumayak3-surfacemodulispacesymplecticalgebrabundlesdeformation
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In this note we prove that the moduli space of torsion-free modules of rank one over an Azumaya algebra on a K3-surface is an irreducible symplectic variety deformation equivalent to a Hilbert scheme of points on the K3-surface.
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