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Postnikov-Stability versus Semistability of Sheaves

Georg Hein and David Ploog

Number 3
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.

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