On the vanishing of cohomology in triangulated categories

2008/11/17 by Bergh, Petter Andreas
#16E30 #18E30 #18G15 #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.0811.2684

Abstract

We study the vanishing of cohomology in triangulated categories admitting a central ring action. In particular, we study vanishing gaps and symmetry.

Related

• Asymptotic vanishing of cohomology in triangulated categories
• Cohomological symmetry in triangulated categories
• The first obstructions to enhancing a triangulated category
• Multiplicity in triangulated categories
• Support and vanishing for non-Noetherian rings and tensor triangulated categories