Movable Curves and Semistable Sheaves

• DOI: 10.1093/imrn/rnv126
• Publication Date: 2015-05-21T00:10:48Z
• Authors: Daniel Greb; Stefan Kebekus; Thomas Peternell
• Keywords: Mathematics - Algebraic Geometry; 14J60; Mathematik; 0103 physical sciences; FOS: Mathematics; 0101 mathematics; Algebraic Geometry (math.AG); 01 natural sciences

This paper extends a number of known results on slope-semistable sheaves from the classical case to setting where polarizations are given by movable curve classes. As applications, we obtain new flatness for reflexive singular varieties, as well characterization finite quotients Abelian varieties via Chern class condition.