Local Dualisable Objects in Local Algebra
Benson D, Iyengar SB, Krause H, Pevtsova J (2024)
In: Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) . Abel Symposia, 17. Cham: Springer : 85-103.
Konferenzbeitrag
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Autor*in
Benson, Dave;
Iyengar, Srikanth B.;
Krause, HenningUniBi 
;
Pevtsova, Julia
;
Pevtsova, JuliaEinrichtung
Abstract / Bemerkung
We study dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noetherian ring. A cohomological criterion for detecting these local dualisable objects is established. Generalisations to other related contexts are discussed.
Stichworte
Balmer spectrum;
Compact object;
Derived category;
Dualisable object;
Reflexive object;
Tensor triangulated category
Erscheinungsjahr
2024
Titel des Konferenzbandes
Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017)
Serien- oder Zeitschriftentitel
Abel Symposia
Band
17
Seite(n)
85-103
Konferenz
Abel Symposium on Triangulated Categories in Representation Theory and Beyond
Konferenzort
Alesund, NORWAY
Konferenzdatum
2022-06-06 – 2022-06-10
ISBN
978-3-031-57791-8,
978-3-031-57789-5,
978-3-031-57788-8
Page URI
https://pub.uni-bielefeld.de/record/2994627
Zitieren
Benson D, Iyengar SB, Krause H, Pevtsova J. Local Dualisable Objects in Local Algebra. In: Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) . Abel Symposia. Vol 17. Cham: Springer ; 2024: 85-103.
Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2024). Local Dualisable Objects in Local Algebra. Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) , Abel Symposia, 17, 85-103. Cham: Springer . https://doi.org/10.1007/978-3-031-57789-5_3
Benson, Dave, Iyengar, Srikanth B., Krause, Henning, and Pevtsova, Julia. 2024. “Local Dualisable Objects in Local Algebra”. In Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) , 17:85-103. Abel Symposia. Cham: Springer .
Benson, D., Iyengar, S. B., Krause, H., and Pevtsova, J. (2024). “Local Dualisable Objects in Local Algebra” in Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) Abel Symposia, vol. 17, (Cham: Springer ), 85-103.
Benson, D., et al., 2024. Local Dualisable Objects in Local Algebra. In Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) . Abel Symposia. no.17 Cham: Springer , pp. 85-103.
D. Benson, et al., “Local Dualisable Objects in Local Algebra”, Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) , Abel Symposia, vol. 17, Cham: Springer , 2024, pp.85-103.
Benson, D., Iyengar, S.B., Krause, H., Pevtsova, J.: Local Dualisable Objects in Local Algebra. Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) . Abel Symposia. 17, p. 85-103. Springer , Cham (2024).
Benson, Dave, Iyengar, Srikanth B., Krause, Henning, and Pevtsova, Julia. “Local Dualisable Objects in Local Algebra”. Triangulated Categories in Representation Theory and Beyond (Abelsymposium 2017) . Cham: Springer , 2024.Vol. 17. Abel Symposia. 85-103.
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arXiv: 2302.08562
Preprint: 10.48550/arXiv.2302.08562
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