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A local-global principle for small triangulated categories†

Published online by Cambridge University Press:  02 March 2015

DAVE BENSON ,
SRIKANTH B. IYENGAR  and
HENNING KRAUSE
DAVE BENSON
Affiliation:
Institute of Mathematics, University of Aberdeen, King's College, Aberdeen AB24 3UE, Scotland. e-mail: [email protected]
SRIKANTH B. IYENGAR
Affiliation:
Department of Mathematics, University of Nebraska, Lincoln, NE 68588, U.S.A. e-mail: [email protected]
HENNING KRAUSE
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany. e-mail: [email protected]
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Abstract

Local cohomology functors are constructed for the category of cohomological functors on an essentially small triangulated category ⊺ equipped with an action of a commutative noetherian ring. This is used to establish a local-global principle and to develop a notion of stratification, for ⊺ and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 158 , Issue 3 , May 2015 , pp. 451 - 476
Copyright
Copyright © Cambridge Philosophical Society 2015 

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Footnotes

†

Version from July 8, 2014.

References

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