Movable curves and semistable sheaves
  This paper extends a number of known results on slope-semistable sheaves from the classical case to the setting where polarisations are given by movable curve classes. As applications, we obtain new flatness results for reflexive sheaves on singular varieties, as well as a characterisation of finite quotients of Abelian varieties via a Chern class condition. 
Daniel Greb, Stefan Kebekus, Thomas Peternell
math.AG