39 citations · 97 across the 25 of their papers we have counts for
18 papers · 1 filter
Obstructions to Deformation Quantization of Bundles
Vladimir Baranovsky, Greg Huey
Let be a smooth algebraic variety over field of characteristic with an algebraic symplectic form , or a complex manifold with a holomorp…
Obstructions of extension of vector bundles
Vladimir Baranovsky, Hongseok Chang
In the holomorphic or algebraic setting we consider a vector bundle E on a smooth subvariety X in a smooth variety Y over a field of characteristic zero. Assuming E extends to the…
Zeta functions of projective hypersurfaces with ordinary double points
Vladimir Baranovsky, Scott Stetson
We extend the approach Abbott, Kedlaya and Roe to computation of the zeta function of a projective hypersurface with isolated ordinary double points over a finite field $\mathb…
Chern classes of quantizable coisotropic bundles
Vladimir Baranovsky
Let be a smooth algebraic variety of dimension with an algebraic symplectic form and a compatible deformation quantization of the structure sheaf. Cons…
Quantization of vector bundles on Lagrangian subvarieties
Vladimir Baranovsky, Taiji Chen
We consider a smooth Lagrangian subvariety Y in a smooth algebraic variety X with an algebraic symplectic from. For a vector bundle E on Y and a choice Oh of deformation quantizati…
Quantization of line bundles on Lagrangian subvarieties
Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin +1
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…