Postnikov-stability versus semistability of sheaves

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Georg Hein
  • David Ploog

Organisationseinheiten

Externe Organisationen

  • Universität Duisburg-Essen
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)247-262
Seitenumfang16
FachzeitschriftAsian Journal of Mathematics
Jahrgang18
Ausgabenummer2
PublikationsstatusVeröffentlicht - 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.

ASJC Scopus Sachgebiete

Zitieren

Postnikov-stability versus semistability of sheaves. / Hein, Georg; Ploog, David.
in: Asian Journal of Mathematics, Jahrgang 18, Nr. 2, 2014, S. 247-262.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 ; Jahrgang 18, Nr. 2. S. 247-262.
Download
@article{5b6a31ecf8194d63812358366eef80ce,
title = "Postnikov-stability versus semistability of sheaves",
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",
author = "Georg Hein and David Ploog",
note = "Publisher Copyright: {\textcopyright} 2014 International Press.",
year = "2014",
doi = "10.4310/AJM.2014.v18.n2.a4",
language = "English",
volume = "18",
pages = "247--262",
journal = "Asian Journal of Mathematics",
issn = "1093-6106",
publisher = "International Press of Boston, Inc.",
number = "2",

}

Download

TY - JOUR

T1 - Postnikov-stability versus semistability of sheaves

AU - Hein, Georg

AU - Ploog, David

N1 - Publisher Copyright: © 2014 International Press.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Derived category

KW - Moduli spaces

KW - Postnikov stability

KW - Stable complexes

UR - http://www.scopus.com/inward/record.url?scp=84921407209&partnerID=8YFLogxK

U2 - 10.4310/AJM.2014.v18.n2.a4

DO - 10.4310/AJM.2014.v18.n2.a4

M3 - Article

AN - SCOPUS:84921407209

VL - 18

SP - 247

EP - 262

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

SN - 1093-6106

IS - 2

ER -