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Quantization of line bundles on Lagrangian subvarieties

Published 14 Mar 2014 in math.AG | (1403.3493v2)

Abstract: We apply the technique of formal geometry to give a necessary and sufficient condition for a line bundle supported on a smooth Lagrangian subvariety to deform to a sheaf of modules over a fixed deformation quantization of the structure sheaf of an algebraic symplectic variety.

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