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https://www.researchgate.net/publication/2135925_Local_cohomology_and_support_for_triangulated_categories
Recently a construction of local cohomology functors for compactly generated triangulated categories admitting small coproducts is introduced and studied by Benson, Iyengar, Krause, Asadollahi and ...
http://www.math.unl.edu/~siyengar2/Papers/Support.pdf
LOCAL COHOMOLOGY AND SUPPORT FOR TRIANGULATED CATEGORIES DAVE BENSON, SRIKANTH IYENGAR, AND HENNING KRAUSE Abstract. We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small co-products. This approach is based on a construction of local cohomology func-
https://arxiv.org/abs/math/0702610
Abstract: We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small coproducts. This approach is based on a construction of local cohomology functors on triangulated categories, with respect to a central ring of operators.Cited by: 6
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.617.1200
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small co-products. This approach is based on a construction of local cohomology func-tors on triangulated categories, with respect to a central ring of operators.
https://projecteuclid.org/euclid.kjm/1320936733
Recently a notion of support and a construction of local cohomology functors for [TR5] compactly generated triangulated categories were introduced and studied by Benson, Iyengar, and Krause. Following their idea, we assign to any object of the category a new subset of Spec (R), again called the (big) support. We study this support and show that ...Cited by: 1
https://www.amazon.com/Representations-Finite-Groups-Cohomology-Oberwolfach/dp/3034802595
The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas.Cited by: 9
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.7157
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small coproducts. This approach is based on a construction of local cohomology functors on triangulated categories, with respect to a central ring of operators.
https://www.worldcat.org/title/representations-of-finite-groups-local-cohomology-and-support/oclc/768398130
Get this from a library! Representations of Finite Groups: Local Cohomology and Support. [David J Benson; Srikanth Iyengar; Henning Krause] -- The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. ...
https://www.springer.com/gp/book/9783034802598
The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas.
https://www.math.uni-bielefeld.de/~hkrause/support.html
Lecture 4 "Local cohomology and support for triangulated categories" The two classifications of thick subcategories for perfect complexes and modular group representations can be pushed further. This was pursued by Neeman in the commutative setting , and much later by Benson, Iyengar, and Krause for group representations . One obtains ...
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