Explicit Description of A Certain Destabilizing Wall of Skyscraper   Sheaves on Ruled Surfaces
  We give a explicit description of gluing stability conditions on ruled surfaces by introducing gluing perversity. Moreover, we describe a destabilizing wall of skyscraper sheaves on ruled surfaces by deformation of stability conditions glued from $\widetilde{GL^{+}}(2,\mathbb{R})$-translates of the standard stability condition on the base curve. 
Takayuki Uchiba
math.AG