Postnikov-Stability for Complexes
Georg Hein, David Ploog
TL;DR
This paper introduces a new stability concept for complexes in derived categories and uses it to compactify moduli spaces of stable bundles with genuine complexes.
Contribution
It proposes a novel stability notion in derived categories and applies it to compactify moduli spaces of stable bundles.
Findings
Defined a new stability condition for complexes
Constructed compactifications of moduli spaces
Extended stability concepts to derived categories
Abstract
We present a novel notion of stable objects in the derived category of coherent sheaves on a smooth projective variety. As one application we compactify a moduli space of stable bundles using genuine complexes.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Molecular spectroscopy and chirality · History and advancements in chemistry