Semistability conditions defined by ample classes

Abstract

We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.

21 pages, v2: Mistake corrected in the proof of the HN property