Postnikov-stability versus semistability of sheaves

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Georg Hein
  • David Ploog

Research Organisations

External Research Organisations

  • University of Duisburg-Essen
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Details

Original languageEnglish
Pages (from-to)247-262
Number of pages16
JournalAsian Journal of Mathematics
Volume18
Issue number2
Publication statusPublished - 2014

Abstract

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.

Keywords

    Derived category, Moduli spaces, Postnikov stability, Stable complexes

ASJC Scopus subject areas

Cite this

Postnikov-stability versus semistability of sheaves. / Hein, Georg; Ploog, David.
In: Asian Journal of Mathematics, Vol. 18, No. 2, 2014, p. 247-262.

Research output: Contribution to journal › Article › Research › peer review

Hein G, Ploog D. Postnikov-stability versus semistability of sheaves. Asian Journal of Mathematics. 2014;18(2):247-262. doi: 10.4310/AJM.2014.v18.n2.a4
Hein, Georg ; Ploog, David. / Postnikov-stability versus semistability of sheaves. In: Asian Journal of Mathematics. 2014 ; Vol. 18, No. 2. pp. 247-262.
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