Vladimir Baranovsky, Victor Ginzburg, D. Kaledin, Jeremy Pecharich
Abstract
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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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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.
Key concepts: Subvariety, Line bundle, Sheaf, Mathematics, Ample line bundle, Symplectic geometry, Lagrangian, Algebraic variety