Postnikov-Stability versus Semistability of Sheaves
نویسندگان
چکیده
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. MSC 2000: 14F05, 14J60, 14D20
منابع مشابه
Postnikov-Stability for Complexes on Curves and Surfaces
Let X be a polarized, smooth projective variety of dimension n over an algebraically closed eld k. Our aim is to introduce a stability notion for complexes, i.e. for objects of D(X), the bounded derived category of coherent sheaves on X. The main motivation for this notion is Faltings' observation that semistability on curves can be phrased as the existence of non-trivial orthogonal sheaves [4]...
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