Postnikov-Stability versus Semistability of Sheaves

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Hein, Georg
Ploog, David
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Abstract
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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.
Comment: 16 pages
Keywords
Mathematics - Algebraic Geometry, 14F05, 14J60, 14D20
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