7 citations · 16 across the 7 of their papers we have counts for
4 papers · 1 filter
Deformation of line bundles on coisotropic subvarieties
Vladimir Baranovsky, Victor Ginzburg, Jeremy Pecharich
We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with an algebraic Poisson structure, admits a first order deformation qua…
On equivalences of derived and singular categories
Vladimir Baranovsky, Jeremy Pecharich
Let X and Y be two smooth Deligne-Mumford stacks and consider a function f, resp. g, on X, resp. Y. Assume that there exists a complex F of sheaves on the fiber product of X and Y…
Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections
Vladimir Baranovsky, Victor Ginzburg
Let Y,Z be a pair of smooth coisotropic subvarieties in a smooth algebraic Poisson variety X. We show that any data of first order deformation of the structure sheaf O_X to a sheaf…
Norm functors and effective zero cycles
Vladimir Baranovsky
We compare two known definitions for a relative family of effective zero cycles, based on traces and norms of functions, respectively. In characteristic zero we show that both defi…