Equivalences of equivariant derived categories

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

Autorschaft

  • Andreas Krug
  • Pawel Sosna

Externe Organisationen

  • University of Warwick
  • Universität Hamburg
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)19-40
Seitenumfang22
FachzeitschriftJournal of the London Mathematical Society
Jahrgang92
Ausgabenummer1
PublikationsstatusVeröffentlicht - 10 Juni 2015
Extern publiziertJa

Abstract

We investigate conditions for a Fourier-Mukai transform between derived categories of coherent sheaves on smooth projective stacks endowed with actions by finite groups to lift to the associated equivariant derived categories. As an application, we give a condition under which a global quotient stack cannot be derived equivalent to a variety. We also apply our techniques to generalized Kummer stacks and symmetric quotients.

ASJC Scopus Sachgebiete

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Equivalences of equivariant derived categories. / Krug, Andreas; Sosna, Pawel.
in: Journal of the London Mathematical Society, Jahrgang 92, Nr. 1, 10.06.2015, S. 19-40.

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

Krug A, Sosna P. Equivalences of equivariant derived categories. Journal of the London Mathematical Society. 2015 Jun 10;92(1):19-40. doi: 10.1112/jlms/jdv014
Krug, Andreas ; Sosna, Pawel. / Equivalences of equivariant derived categories. in: Journal of the London Mathematical Society. 2015 ; Jahrgang 92, Nr. 1. S. 19-40.
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