Asian Journal of Mathematics
Volume 18 (2014)
Postnikov-stability versus semistability of sheaves
Pages: 247 – 262
We present a novel notion of stable objects in a triangulated category. This Postnikov-stability is preserved by equivalences. We show that for the derived category of a projective variety this notion includes the case of semistable sheaves. As one application we compactify a moduli space of stable bundles using genuine complexes via Fourier-Mukai transforms.
stable complexes, derived category, moduli spaces, Postnikov stability
2010 Mathematics Subject Classification
14D20, 14F05, 14J60