On the local cohomology and support for triangulated categories
نویسندگان
چکیده
منابع مشابه
On the Vanishing of Cohomology in Triangulated Categories
We study the vanishing of cohomology in a triangulated category, in particular vanishing gaps and symmetry.
متن کاملA Note on Support in Triangulated Categories
In this note, I define a notion of a compactly supported object in a triangulated category. I prove a number of propositions relating this to traditional notions of support and give an application to the theory of derived Morita equivalence. I also discuss a connection to supersymmetric gauge theories arising from D-branes at a singularity.
متن کاملOn Triangulated Orbit Categories
We show that the category of orbits of the bounded derived category of a hereditary category under a well-behaved autoequivalence is canonically triangulated. This answers a question by Aslak Buan, Robert Marsh and Idun Reiten which appeared in their study [8] with M. Reineke and G. Todorov of the link between tilting theory and cluster algebras (cf. also [16]) and a question by Hideto Asashiba...
متن کاملThe Axioms for Triangulated Categories
This is an edited extract from my paper [11]. We define triangulated categories and discuss homotopy pushouts and pullbacks in such categories in §1 and §2. We focus on Verdier’s octahedral axiom, since the axiom that is usually regarded as the most substantive one is redundant: it is implied by Verdier’s axiom and the remaining, less substantial, axioms. Strangely, since triangulated categorie...
متن کاملLocalization for Triangulated Categories
Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 13 5. Localization via Brown representatbility 23 6. Well generated triangulated categories 31 7. Localization for well generated categories 38 8. Epilogue: Beyond well-generatedness 46 Appendix A. The abelianization of a triangulated category ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2011
ISSN: 2156-2261
DOI: 10.1215/21562261-1424866