Postnikov-Stability versus Semistability of Sheaves
Georg Hein and David Ploog
Number | 3 |
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Author | Georg Hein |
Year | 2009 |
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.