Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1450-1465 |
Seitenumfang | 16 |
Fachzeitschrift | Mathematische Nachrichten |
Jahrgang | 289 |
Ausgabenummer | 11-12 |
Frühes Online-Datum | 19 Jan. 2016 |
Publikationsstatus | Veröffentlicht - 15 Aug. 2016 |
Abstract
We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical. This general result is then applied to examples from algebraic geometry.
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in: Mathematische Nachrichten, Jahrgang 289, Nr. 11-12, 15.08.2016, S. 1450-1465.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Spherical subcategories in algebraic geometry
AU - Hochenegger, Andreas
AU - Kalck, Martin
AU - Ploog, David
N1 - Funding information: Martin Kalck is grateful for the support by the DFG grant Bu-1886/2-1. The authors would like to thank Stephen Coughlan, Sergey Galkin, Matthias Sch?tt, Pawel Sosna, Greg Stevenson, Rahbar Virk and Michael Wemyss for answering our questions. We are very grateful to the anonymous referees for very thorough reading and many valuable comments.
PY - 2016/8/15
Y1 - 2016/8/15
N2 - We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical. This general result is then applied to examples from algebraic geometry.
AB - We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical. This general result is then applied to examples from algebraic geometry.
KW - spherelike object
KW - spherical object
KW - spherical subcategory
KW - Triangulated category
KW - twist functor
UR - http://www.scopus.com/inward/record.url?scp=84955303422&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1208.4046
DO - 10.48550/arXiv.1208.4046
M3 - Article
AN - SCOPUS:84955303422
VL - 289
SP - 1450
EP - 1465
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
IS - 11-12
ER -