Postnikov-Stability versus Semistability of Sheaves

Details Postnikov-Stability versus Semistability of Sheaves Postnikov-Stability versus Semistability of Sheaves

2009-01-12

arxiv.org/abs/0901.1554v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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