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Support varieties - an axiomatic approach
journal contribution
posted on 2019-08-16, 15:58 authored by Aslak Bakke Buan, Henning Krause, Nicole Snashall, Øyvind SolbergWe provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated by examples, taken in particular from representation theory of finite dimensional algebras.
Funding
The authors thank the Mathematisches Forschungsinstitut Oberwolfach for the unique opportunity and for the support of our two Research in Pairs stays in 2002 and 2004, which made this work possible.
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Mathematische Zeitschrift, 2019Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- VoR (Version of Record)
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Mathematische ZeitschriftPublisher
Springer (part of Springer Nature)eissn
1432-1823Acceptance date
2019-06-10Copyright date
2019Available date
2019-08-16Publisher DOI
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https://link.springer.com/article/10.1007/s00209-019-02343-4Notes
Some of this work was presented at the Mini-Workshop ‘Support Varieties’ at Oberwolfach in February 2009 (see [35]).Language
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